-3(x+4)-2=2(x+8)

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Solution for -3(x+4)-2=2(x+8) equation:


Simplifying
-3(x + 4) + -2 = 2(x + 8)

Reorder the terms:
-3(4 + x) + -2 = 2(x + 8)
(4 * -3 + x * -3) + -2 = 2(x + 8)
(-12 + -3x) + -2 = 2(x + 8)

Reorder the terms:
-12 + -2 + -3x = 2(x + 8)

Combine like terms: -12 + -2 = -14
-14 + -3x = 2(x + 8)

Reorder the terms:
-14 + -3x = 2(8 + x)
-14 + -3x = (8 * 2 + x * 2)
-14 + -3x = (16 + 2x)

Solving
-14 + -3x = 16 + 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.
-14 + -3x + -2x = 16 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-14 + -5x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + -5x = 16 + 0
-14 + -5x = 16

Add '14' to each side of the equation.
-14 + 14 + -5x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = 16 + 14
-5x = 16 + 14

Combine like terms: 16 + 14 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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