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6(2x - 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)

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debmc7

Answer:

A: see below

B: The value of x that makes the equation true is 7

Step-by-step explanation:

6(2x - 11) + 15 = 3x + 12

Start with the property of distribution and multiply 6 by the terms in parentheses

12x - 66 + 15 = 3x + 12

Combine like terms

12x - 51 = 3x + 12

Isolate the variable to one side of the equation by subtracting 3x from both sides, and then adding 51 to both sides:

9x - 51 = 12

9x = 63

Finish isolating x by dividing both sides by 9, which solves for x:

x = 7

shubhamchouhanvrVT

The value of x that makes the equation true is 7

What is an equation?

The linear equation is defined as the equation having a degree of one of the powers of the variable will be one.

6  (  2x  -  11  )  +   15   =   3x   +   12

Start with the property of distribution and multiply 6 by the terms in parentheses

12x   -   66   +   15   =  3x  +  12

Combine like terms

12x   -  51   =   3x   +   12

Isolate the variable to one side of the equation by subtracting 3x from both sides, and then adding 51 to both sides:

9x   -   51   =   12

9x    =    63

Finish isolating x by dividing both sides by 9, which solves for x:

x   =   7

To know more about the linear equation follow

https://brainly.com/question/1884491

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