-2(x+4)-8=3(x-7)

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Solution for -2(x+4)-8=3(x-7) equation:


Simplifying
-2(x + 4) + -8 = 3(x + -7)

Reorder the terms:
-2(4 + x) + -8 = 3(x + -7)
(4 * -2 + x * -2) + -8 = 3(x + -7)
(-8 + -2x) + -8 = 3(x + -7)

Reorder the terms:
-8 + -8 + -2x = 3(x + -7)

Combine like terms: -8 + -8 = -16
-16 + -2x = 3(x + -7)

Reorder the terms:
-16 + -2x = 3(-7 + x)
-16 + -2x = (-7 * 3 + x * 3)
-16 + -2x = (-21 + 3x)

Solving
-16 + -2x = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + -2x + -3x = -21 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-16 + -5x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -5x = -21 + 0
-16 + -5x = -21

Add '16' to each side of the equation.
-16 + 16 + -5x = -21 + 16

Combine like terms: -16 + 16 = 0
0 + -5x = -21 + 16
-5x = -21 + 16

Combine like terms: -21 + 16 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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