2(x-5)-8=-2(-9x+7)-4x

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Solution for 2(x-5)-8=-2(-9x+7)-4x equation:


Simplifying
2(x + -5) + -8 = -2(-9x + 7) + -4x

Reorder the terms:
2(-5 + x) + -8 = -2(-9x + 7) + -4x
(-5 * 2 + x * 2) + -8 = -2(-9x + 7) + -4x
(-10 + 2x) + -8 = -2(-9x + 7) + -4x

Reorder the terms:
-10 + -8 + 2x = -2(-9x + 7) + -4x

Combine like terms: -10 + -8 = -18
-18 + 2x = -2(-9x + 7) + -4x

Reorder the terms:
-18 + 2x = -2(7 + -9x) + -4x
-18 + 2x = (7 * -2 + -9x * -2) + -4x
-18 + 2x = (-14 + 18x) + -4x

Combine like terms: 18x + -4x = 14x
-18 + 2x = -14 + 14x

Solving
-18 + 2x = -14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-18 + 2x + -14x = -14 + 14x + -14x

Combine like terms: 2x + -14x = -12x
-18 + -12x = -14 + 14x + -14x

Combine like terms: 14x + -14x = 0
-18 + -12x = -14 + 0
-18 + -12x = -14

Add '18' to each side of the equation.
-18 + 18 + -12x = -14 + 18

Combine like terms: -18 + 18 = 0
0 + -12x = -14 + 18
-12x = -14 + 18

Combine like terms: -14 + 18 = 4
-12x = 4

Divide each side by '-12'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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