5-5(3x-2)=-2(x-8)+38

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Solution for 5-5(3x-2)=-2(x-8)+38 equation:


Simplifying
5 + -5(3x + -2) = -2(x + -8) + 38

Reorder the terms:
5 + -5(-2 + 3x) = -2(x + -8) + 38
5 + (-2 * -5 + 3x * -5) = -2(x + -8) + 38
5 + (10 + -15x) = -2(x + -8) + 38

Combine like terms: 5 + 10 = 15
15 + -15x = -2(x + -8) + 38

Reorder the terms:
15 + -15x = -2(-8 + x) + 38
15 + -15x = (-8 * -2 + x * -2) + 38
15 + -15x = (16 + -2x) + 38

Reorder the terms:
15 + -15x = 16 + 38 + -2x

Combine like terms: 16 + 38 = 54
15 + -15x = 54 + -2x

Solving
15 + -15x = 54 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
15 + -15x + 2x = 54 + -2x + 2x

Combine like terms: -15x + 2x = -13x
15 + -13x = 54 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + -13x = 54 + 0
15 + -13x = 54

Add '-15' to each side of the equation.
15 + -15 + -13x = 54 + -15

Combine like terms: 15 + -15 = 0
0 + -13x = 54 + -15
-13x = 54 + -15

Combine like terms: 54 + -15 = 39
-13x = 39

Divide each side by '-13'.
x = -3

Simplifying
x = -3

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