Math / Algebra

Question $\frac{2 x+4}{6}-2=4$

Studdy Solution

STEP 1

What is this asking? We're trying to find the mystery number $x$ that makes this equation true! Watch out! Don't forget to follow the order of operations, and be careful with those fractions!

STEP 2

1. Isolate the term with $x$ .
2. Isolate $x$ .

STEP 3

First, let's add $2$ to both sides of the equation to move that $-2$ out of the way.
We're doing this because adding $2$ to $-2$ gives us $0$ , effectively isolating the term with $x$ . $\frac{2x+4}{6} - 2 + 2 = 4 + 2$ $\frac{2x+4}{6} = 6$

STEP 4

Now, let's multiply both sides by $6$ .
Multiplying both sides by $6$ is important because it simplifies the equation by getting rid of the fraction.
Multiplying $6$ by $\frac{1}{6}$ gives us $1$ , effectively isolating the numerator. $6 \cdot \frac{2x+4}{6} = 6 \cdot 6$ $2x+4 = 36$

STEP 5

Let's subtract $4$ from both sides of the equation.
We're subtracting $4$ because $4-4$ gives us $0$ , which helps us get $x$ alone on one side. $2x + 4 - 4 = 36 - 4$ $2x = 32$

STEP 6

Finally, let's divide both sides by $2$ .
Dividing by $2$ is the final step because $\frac{2}{2}$ gives us $1$ , isolating $x$ and revealing its value. $\frac{2x}{2} = \frac{32}{2}$ $x = 16$

STEP 7

So, the magical value of $x$ that makes our original equation true is $x = 16$ !

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Question $\frac{2 x+4}{6}-2=4$

Studdy Solution

STEP 1

What is this asking? We're trying to find the mystery number $x$ that makes this equation true! Watch out! Don't forget to follow the order of operations, and be careful with those fractions!

STEP 2

1. Isolate the term with $x$ .
2. Isolate $x$ .

STEP 3

First, let's add $2$ to both sides of the equation to move that $-2$ out of the way.
We're doing this because adding $2$ to $-2$ gives us $0$ , effectively isolating the term with $x$ . $\frac{2x+4}{6} - 2 + 2 = 4 + 2$ $\frac{2x+4}{6} = 6$

STEP 4

Now, let's multiply both sides by $6$ .
Multiplying both sides by $6$ is important because it simplifies the equation by getting rid of the fraction.
Multiplying $6$ by $\frac{1}{6}$ gives us $1$ , effectively isolating the numerator. $6 \cdot \frac{2x+4}{6} = 6 \cdot 6$ $2x+4 = 36$

STEP 5

Let's subtract $4$ from both sides of the equation.
We're subtracting $4$ because $4-4$ gives us $0$ , which helps us get $x$ alone on one side. $2x + 4 - 4 = 36 - 4$ $2x = 32$

STEP 6

Finally, let's divide both sides by $2$ .
Dividing by $2$ is the final step because $\frac{2}{2}$ gives us $1$ , isolating $x$ and revealing its value. $\frac{2x}{2} = \frac{32}{2}$ $x = 16$

STEP 7

So, the magical value of $x$ that makes our original equation true is $x = 16$ !

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Question2x+46−2=4\frac{2 x+4}{6}-2=462x+4​−2=4

Studdy Solution

STEP 1

What is this asking? We're trying to find the mystery number xxx that makes this equation true! Watch out! Don't forget to follow the order of operations, and be careful with those fractions!

STEP 2

1. Isolate the term with xxx.2. Isolate xxx.

STEP 3

STEP 4

STEP 5

Let's **subtract** 444 from both sides of the equation.We're subtracting 444 because 4−44-44−4 gives us 000, which helps us get xxx alone on one side. 2x+4−4=36−4 2x + 4 - 4 = 36 - 4 2x+4−4=36−4 2x=32 2x = 32 2x=32

STEP 6

Finally, let's **divide** both sides by 222.Dividing by 222 is the final step because 22\frac{2}{2}22​ gives us 111, isolating xxx and revealing its value. 2x2=322 \frac{2x}{2} = \frac{32}{2} 22x​=232​ x=16 x = 16 x=16

STEP 7

So, the **magical value** of xxx that makes our original equation true is x=16x = 16x=16!

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Studdy solves anything!

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Question $\frac{2 x+4}{6}-2=4$

What is this asking? We're trying to find the mystery number $x$ that makes this equation true! Watch out! Don't forget to follow the order of operations, and be careful with those fractions!

1. Isolate the term with $x$ .
2. Isolate $x$ .

Let's subtract $4$ from both sides of the equation.
We're subtracting $4$ because $4-4$ gives us $0$ , which helps us get $x$ alone on one side. $2x + 4 - 4 = 36 - 4$ $2x = 32$

Finally, let's divide both sides by $2$ .
Dividing by $2$ is the final step because $\frac{2}{2}$ gives us $1$ , isolating $x$ and revealing its value. $\frac{2x}{2} = \frac{32}{2}$ $x = 16$

So, the magical value of $x$ that makes our original equation true is $x = 16$ !