3x − 2(6 − x) = 7x + 2(5 + x) − 6

x = -4

Step-by-step explanation:

3x -2(6-x) = 7x +2(5+x) -6

Distribute -2 through the parentheses 3x -12 +2x = 7x +2(5+x) -6

Distribute 2 through the parentheses 3x -12 +2x = 7x +10 +2x -6

3x -12 +2x = 7x +10 +2x -6 cancel equal terms on both sides of the equation

3x -12 = 7x +10 -6 subtract the numbers 3x -12 = 7x +4

                           Move variable to the left left handed side and change its sign

3x -7x-12 = 4   -->   3x -7x = 4 + 12  -->  -4x = 4+12  --> -4x = 16

             Divide both sides of the equation by -4  -->  x = -4

there are infinitely many solutions.