-3(x+1)=2(x-8)+2

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Solution for -3(x+1)=2(x-8)+2 equation: 


Simplifying
-3(x + 1) = 2(x + -8) + 2

Reorder the terms:
-3(1 + x) = 2(x + -8) + 2
(1 * -3 + x * -3) = 2(x + -8) + 2
(-3 + -3x) = 2(x + -8) + 2

Reorder the terms:
-3 + -3x = 2(-8 + x) + 2
-3 + -3x = (-8 * 2 + x * 2) + 2
-3 + -3x = (-16 + 2x) + 2

Reorder the terms:
-3 + -3x = -16 + 2 + 2x

Combine like terms: -16 + 2 = -14
-3 + -3x = -14 + 2x

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

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

Combine like terms: 2x + -2x = 0
-3 + -5x = -14 + 0
-3 + -5x = -14

Add '3' to each side of the equation.
-3 + 3 + -5x = -14 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -14 + 3
-5x = -14 + 3

Combine like terms: -14 + 3 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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