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

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


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

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

Reorder the terms:
15 + 3x = -12 + -2 + -2x

Combine like terms: -12 + -2 = -14
15 + 3x = -14 + -2x

Solving
15 + 3x = -14 + -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 + 3x + 2x = -14 + -2x + 2x

Combine like terms: 3x + 2x = 5x
15 + 5x = -14 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 5x = -14 + 0
15 + 5x = -14

Add '-15' to each side of the equation.
15 + -15 + 5x = -14 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = -14 + -15
5x = -14 + -15

Combine like terms: -14 + -15 = -29
5x = -29

Divide each side by '5'.
x = -5.8

Simplifying
x = -5.8

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