Answer:
x = -4
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