Question

-3(3x-7)=-2(x+4)+1 how do I solve for x, my answer was x=28/9

Answer 1

x = 4

Explanation:

In order to solve for x in the equation -3(3x - 7)=-2(x + 4) + 1, we can follow these steps:

Distribute the -3 on the left side and -2 on the right side of the equation:

-9x + 21 = -2x - 8 + 1

Combine like terms on the right side of the equation:

-9x + 21 = -2x - 7

Add 9x to both sides of the equation:

-9x + 21 + 9x = -2x - 7 + 9x

21 = 7x - 7

Add 7 from both sides of the equation:

21 + 7 = 7x - 7 + 7

7x = 28

Divide both sides of the equation by -7:

`\sf (7x )/(7)=( 28)/(7)`

x = 4

Therefore, the solution to the equation is:

x = 4