3(x-8)-2=-2(-2x+4)-9x

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Solution for 3(x-8)-2=-2(-2x+4)-9x equation:


Simplifying
3(x + -8) + -2 = -2(-2x + 4) + -9x

Reorder the terms:
3(-8 + x) + -2 = -2(-2x + 4) + -9x
(-8 * 3 + x * 3) + -2 = -2(-2x + 4) + -9x
(-24 + 3x) + -2 = -2(-2x + 4) + -9x

Reorder the terms:
-24 + -2 + 3x = -2(-2x + 4) + -9x

Combine like terms: -24 + -2 = -26
-26 + 3x = -2(-2x + 4) + -9x

Reorder the terms:
-26 + 3x = -2(4 + -2x) + -9x
-26 + 3x = (4 * -2 + -2x * -2) + -9x
-26 + 3x = (-8 + 4x) + -9x

Combine like terms: 4x + -9x = -5x
-26 + 3x = -8 + -5x

Solving
-26 + 3x = -8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-26 + 3x + 5x = -8 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-26 + 8x = -8 + -5x + 5x

Combine like terms: -5x + 5x = 0
-26 + 8x = -8 + 0
-26 + 8x = -8

Add '26' to each side of the equation.
-26 + 26 + 8x = -8 + 26

Combine like terms: -26 + 26 = 0
0 + 8x = -8 + 26
8x = -8 + 26

Combine like terms: -8 + 26 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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