Answer
x=-53
Work Step by Step
Simplifying
31 + -2(x + -5) = -3(x + 4)
Reorder the terms:
31 + -2(-5 + x) = -3(x + 4)
31 + (-5 * -2 + x * -2) = -3(x + 4)
31 + (10 + -2x) = -3(x + 4)
Combine like terms: 31 + 10 = 41
41 + -2x = -3(x + 4)
Reorder the terms:
41 + -2x = -3(4 + x)
41 + -2x = (4 * -3 + x * -3)
41 + -2x = (-12 + -3x)
Solving
41 + -2x = -12 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
41 + -2x + 3x = -12 + -3x + 3x
Combine like terms: -2x + 3x = 1x
41 + 1x = -12 + -3x + 3x
Combine like terms: -3x + 3x = 0
41 + 1x = -12 + 0
41 + 1x = -12
Add '-41' to each side of the equation.
41 + -41 + 1x = -12 + -41
Combine like terms: 41 + -41 = 0
0 + 1x = -12 + -41
1x = -12 + -41
Combine like terms: -12 + -41 = -53
1x = -53
Divide each side by '1'.
x = -53
Simplifying
x = -53
