QuestionSolve the linear equation: $6x + 5 = 6(x + 2) - 7$ .

Studdy Solution

STEP 1

Assumptions1. We are given a linear equation in the form of $6x+5=6(x+)-7$ . . We need to find the value of $x$ that satisfies this equation.

STEP 2

First, we need to simplify the equation by distributing the $6$ on the right side of the equation.
$6x+5=6x+12-7$

STEP 3

Next, simplify the right side of the equation by subtracting $7$ from $12$ .
$6x+5=6x+5$

STEP 4

Now, we can subtract $6x$ from both sides of the equation to isolate $x$ .
$6x-6x+=6x-6x+$

STEP 5

implify both sides of the equation.
$5=5$

STEP 6

The equation $5=5$ is always true, which means that the original equation is an identity. Therefore, there are infinitely many solutions for $x$ .
The solution is that $x$ can be any real number.

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QuestionSolve the linear equation: $6x + 5 = 6(x + 2) - 7$ .

Studdy Solution

STEP 1

Assumptions1. We are given a linear equation in the form of $6x+5=6(x+)-7$ . . We need to find the value of $x$ that satisfies this equation.

STEP 2

First, we need to simplify the equation by distributing the $6$ on the right side of the equation.
$6x+5=6x+12-7$

STEP 3

Next, simplify the right side of the equation by subtracting $7$ from $12$ .
$6x+5=6x+5$

STEP 4

Now, we can subtract $6x$ from both sides of the equation to isolate $x$ .
$6x-6x+=6x-6x+$

STEP 5

implify both sides of the equation.
$5=5$

STEP 6

The equation $5=5$ is always true, which means that the original equation is an identity. Therefore, there are infinitely many solutions for $x$ .
The solution is that $x$ can be any real number.

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QuestionSolve the linear equation: 6x+5=6(x+2)−76x + 5 = 6(x + 2) - 76x+5=6(x+2)−7.

Studdy Solution

STEP 1

Assumptions1. We are given a linear equation in the form of 6x+5=6(x+)−76x+5=6(x+)-76x+5=6(x+)−7. . We need to find the value of xxx that satisfies this equation.

STEP 2

First, we need to simplify the equation by distributing the 666 on the right side of the equation.6x+5=6x+12−76x+5=6x+12-76x+5=6x+12−7

STEP 3

Next, simplify the right side of the equation by subtracting 777 from 121212.6x+5=6x+56x+5=6x+56x+5=6x+5

STEP 4

Now, we can subtract 6x6x6x from both sides of the equation to isolate xxx.6x−6x+=6x−6x+6x-6x+=6x-6x+6x−6x+=6x−6x+

STEP 5

implify both sides of the equation.5=55=55=5

STEP 6

The equation 5=55=55=5 is always true, which means that the original equation is an identity. Therefore, there are infinitely many solutions for xxx.The solution is that xxx can be any real number.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the linear equation: $6x + 5 = 6(x + 2) - 7$ .

Assumptions1. We are given a linear equation in the form of $6x+5=6(x+)-7$ . . We need to find the value of $x$ that satisfies this equation.

First, we need to simplify the equation by distributing the $6$ on the right side of the equation.
$6x+5=6x+12-7$

Next, simplify the right side of the equation by subtracting $7$ from $12$ .
$6x+5=6x+5$

Now, we can subtract $6x$ from both sides of the equation to isolate $x$ .
$6x-6x+=6x-6x+$

implify both sides of the equation.
$5=5$

The equation $5=5$ is always true, which means that the original equation is an identity. Therefore, there are infinitely many solutions for $x$ .
The solution is that $x$ can be any real number.