3(2)(x-2)-15-45=10x+20

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Solution for 3(2)(x-2)-15-45=10x+20 equation: 


Simplifying
3(2)(x + -2) + -15 + -45 = 10x + 20

Reorder the terms:
3 * 2(-2 + x) + -15 + -45 = 10x + 20

Multiply 3 * 2
6(-2 + x) + -15 + -45 = 10x + 20
(-2 * 6 + x * 6) + -15 + -45 = 10x + 20
(-12 + 6x) + -15 + -45 = 10x + 20

Reorder the terms:
-12 + -15 + -45 + 6x = 10x + 20

Combine like terms: -12 + -15 = -27
-27 + -45 + 6x = 10x + 20

Combine like terms: -27 + -45 = -72
-72 + 6x = 10x + 20

Reorder the terms:
-72 + 6x = 20 + 10x

Solving
-72 + 6x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-72 + 6x + -10x = 20 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-72 + -4x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-72 + -4x = 20 + 0
-72 + -4x = 20

Add '72' to each side of the equation.
-72 + 72 + -4x = 20 + 72

Combine like terms: -72 + 72 = 0
0 + -4x = 20 + 72
-4x = 20 + 72

Combine like terms: 20 + 72 = 92
-4x = 92

Divide each side by '-4'.
x = -23

Simplifying
x = -23

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