-42(1-x)=57(x+83)+28x

Solution for -42(1-x)=57(x+83)+28x equation:

Simplifying
-42(1 + -1x) = 57(x + 83) + 28x
(1 * -42 + -1x * -42) = 57(x + 83) + 28x
(-42 + 42x) = 57(x + 83) + 28x

Reorder the terms:
-42 + 42x = 57(83 + x) + 28x
-42 + 42x = (83 * 57 + x * 57) + 28x
-42 + 42x = (4731 + 57x) + 28x

Combine like terms: 57x + 28x = 85x
-42 + 42x = 4731 + 85x

Solving
-42 + 42x = 4731 + 85x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-85x' to each side of the equation.
-42 + 42x + -85x = 4731 + 85x + -85x

Combine like terms: 42x + -85x = -43x
-42 + -43x = 4731 + 85x + -85x

Combine like terms: 85x + -85x = 0
-42 + -43x = 4731 + 0
-42 + -43x = 4731

Add '42' to each side of the equation.
-42 + 42 + -43x = 4731 + 42

Combine like terms: -42 + 42 = 0
0 + -43x = 4731 + 42
-43x = 4731 + 42

Combine like terms: 4731 + 42 = 4773
-43x = 4773

Divide each side by '-43'.
x = -111

Simplifying
x = -111