3(x+5)=2(-6-x)-2x

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Solution for 3(x+5)=2(-6-x)-2x equation: 


Simplifying
3(x + 5) = 2(-6 + -1x) + -2x

Reorder the terms:
3(5 + x) = 2(-6 + -1x) + -2x
(5 * 3 + x * 3) = 2(-6 + -1x) + -2x
(15 + 3x) = 2(-6 + -1x) + -2x
15 + 3x = (-6 * 2 + -1x * 2) + -2x
15 + 3x = (-12 + -2x) + -2x

Combine like terms: -2x + -2x = -4x
15 + 3x = -12 + -4x

Solving
15 + 3x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + 3x + 4x = -12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
15 + 7x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + 7x = -12 + 0
15 + 7x = -12

Add '-15' to each side of the equation.
15 + -15 + 7x = -12 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = -12 + -15
7x = -12 + -15

Combine like terms: -12 + -15 = -27
7x = -27

Divide each side by '7'.
x = -3.857142857

Simplifying
x = -3.857142857

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