3(x+2)=5(x-42)

Solution for 3(x+2)=5(x-42) equation:

Simplifying
3(x + 2) = 5(x + -42)

Reorder the terms:
3(2 + x) = 5(x + -42)
(2 * 3 + x * 3) = 5(x + -42)
(6 + 3x) = 5(x + -42)

Reorder the terms:
6 + 3x = 5(-42 + x)
6 + 3x = (-42 * 5 + x * 5)
6 + 3x = (-210 + 5x)

Solving
6 + 3x = -210 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = -210 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = -210 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = -210 + 0
6 + -2x = -210

Add '-6' to each side of the equation.
6 + -6 + -2x = -210 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -210 + -6
-2x = -210 + -6

Combine like terms: -210 + -6 = -216
-2x = -216

Divide each side by '-2'.
x = 108

Simplifying
x = 108