-3(X-2)=5(X+4)+50

Solution for -3(X-2)=5(X+4)+50 equation:

Simplifying
-3(X + -2) = 5(X + 4) + 50

Reorder the terms:
-3(-2 + X) = 5(X + 4) + 50
(-2 * -3 + X * -3) = 5(X + 4) + 50
(6 + -3X) = 5(X + 4) + 50

Reorder the terms:
6 + -3X = 5(4 + X) + 50
6 + -3X = (4 * 5 + X * 5) + 50
6 + -3X = (20 + 5X) + 50

Reorder the terms:
6 + -3X = 20 + 50 + 5X

Combine like terms: 20 + 50 = 70
6 + -3X = 70 + 5X

Solving
6 + -3X = 70 + 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 = 70 + 5X + -5X

Combine like terms: -3X + -5X = -8X
6 + -8X = 70 + 5X + -5X

Combine like terms: 5X + -5X = 0
6 + -8X = 70 + 0
6 + -8X = 70

Add '-6' to each side of the equation.
6 + -6 + -8X = 70 + -6

Combine like terms: 6 + -6 = 0
0 + -8X = 70 + -6
-8X = 70 + -6

Combine like terms: 70 + -6 = 64
-8X = 64

Divide each side by '-8'.
X = -8

Simplifying
X = -8