-2(7x-8)+9x=-2(2x-10)

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Solution for -2(7x-8)+9x=-2(2x-10) equation:


Simplifying
-2(7x + -8) + 9x = -2(2x + -10)

Reorder the terms:
-2(-8 + 7x) + 9x = -2(2x + -10)
(-8 * -2 + 7x * -2) + 9x = -2(2x + -10)
(16 + -14x) + 9x = -2(2x + -10)

Combine like terms: -14x + 9x = -5x
16 + -5x = -2(2x + -10)

Reorder the terms:
16 + -5x = -2(-10 + 2x)
16 + -5x = (-10 * -2 + 2x * -2)
16 + -5x = (20 + -4x)

Solving
16 + -5x = 20 + -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.
16 + -5x + 4x = 20 + -4x + 4x

Combine like terms: -5x + 4x = -1x
16 + -1x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + -1x = 20 + 0
16 + -1x = 20

Add '-16' to each side of the equation.
16 + -16 + -1x = 20 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 20 + -16
-1x = 20 + -16

Combine like terms: 20 + -16 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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