Math / Algebra

Question $8 = \frac{1}{2}(3x + 10)$

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

We want to get rid of the fraction $\frac{1}{2}$ on the right side.
The best way to do that is to multiply both sides of the equation by 2.
Remember, whatever we do to one side, we must do to the other to keep the equation balanced! $2 \cdot 8 = 2 \cdot \frac{1}{2}(3x + 10)$ $16 = 1 \cdot (3x + 10)$

STEP 4

Now, we simplify the right side.
Multiplying by 1 doesn't change anything, so we have: $16 = 3x + 10$ Look at that!
No more fractions!
We're one step closer to finding our mystery $x$ .

STEP 5

We want to get $x$ all alone, so let's subtract 10 from both sides of the equation: $16 - 10 = 3x + 10 - 10$ $6 = 3x$ Almost there!

STEP 6

Now, we just need to divide both sides by 3 to find our final answer: $\frac{6}{3} = \frac{3x}{3}$ $2 = x$ So, $x = \mathbf{2}$ !
We found it!

STEP 7

$x = 2$

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Question $8 = \frac{1}{2}(3x + 10)$

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

We want to get rid of the fraction $\frac{1}{2}$ on the right side.
The best way to do that is to multiply both sides of the equation by 2.
Remember, whatever we do to one side, we must do to the other to keep the equation balanced! $2 \cdot 8 = 2 \cdot \frac{1}{2}(3x + 10)$ $16 = 1 \cdot (3x + 10)$

STEP 4

Now, we simplify the right side.
Multiplying by 1 doesn't change anything, so we have: $16 = 3x + 10$ Look at that!
No more fractions!
We're one step closer to finding our mystery $x$ .

STEP 5

We want to get $x$ all alone, so let's subtract 10 from both sides of the equation: $16 - 10 = 3x + 10 - 10$ $6 = 3x$ Almost there!

STEP 6

Now, we just need to divide both sides by 3 to find our final answer: $\frac{6}{3} = \frac{3x}{3}$ $2 = x$ So, $x = \mathbf{2}$ !
We found it!

STEP 7

$x = 2$

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Question8=12(3x+10)8 = \frac{1}{2}(3x + 10)8=21​(3x+10)

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

Now, we simplify the right side.Multiplying by **1** doesn't change anything, so we have: 16=3x+10 16 = 3x + 10 16=3x+10 Look at that!No more fractions!We're one step closer to finding our mystery xxx.

STEP 5

We want to get xxx all alone, so let's subtract **10** from both sides of the equation: 16−10=3x+10−10 16 - 10 = 3x + 10 - 10 16−10=3x+10−10 6=3x 6 = 3x 6=3xAlmost there!

STEP 6

Now, we just need to divide both sides by **3** to find our **final answer**: 63=3x3 \frac{6}{3} = \frac{3x}{3} 36​=33x​ 2=x 2 = x 2=xSo, x=2x = \mathbf{2}x=2!We found it!

STEP 7

x=2x = 2x=2

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Question $8 = \frac{1}{2}(3x + 10)$

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 $x$ .

Now, we simplify the right side.
Multiplying by 1 doesn't change anything, so we have: $16 = 3x + 10$ Look at that!
No more fractions!
We're one step closer to finding our mystery $x$ .

We want to get $x$ all alone, so let's subtract 10 from both sides of the equation: $16 - 10 = 3x + 10 - 10$ $6 = 3x$ Almost there!

Now, we just need to divide both sides by 3 to find our final answer: $\frac{6}{3} = \frac{3x}{3}$ $2 = x$ So, $x = \mathbf{2}$ !
We found it!

$x = 2$