4(2x-8)+x=2(6x-8)+2x-3

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Solution for 4(2x-8)+x=2(6x-8)+2x-3 equation:


Simplifying
4(2x + -8) + x = 2(6x + -8) + 2x + -3

Reorder the terms:
4(-8 + 2x) + x = 2(6x + -8) + 2x + -3
(-8 * 4 + 2x * 4) + x = 2(6x + -8) + 2x + -3
(-32 + 8x) + x = 2(6x + -8) + 2x + -3

Combine like terms: 8x + x = 9x
-32 + 9x = 2(6x + -8) + 2x + -3

Reorder the terms:
-32 + 9x = 2(-8 + 6x) + 2x + -3
-32 + 9x = (-8 * 2 + 6x * 2) + 2x + -3
-32 + 9x = (-16 + 12x) + 2x + -3

Reorder the terms:
-32 + 9x = -16 + -3 + 12x + 2x

Combine like terms: -16 + -3 = -19
-32 + 9x = -19 + 12x + 2x

Combine like terms: 12x + 2x = 14x
-32 + 9x = -19 + 14x

Solving
-32 + 9x = -19 + 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.
-32 + 9x + -14x = -19 + 14x + -14x

Combine like terms: 9x + -14x = -5x
-32 + -5x = -19 + 14x + -14x

Combine like terms: 14x + -14x = 0
-32 + -5x = -19 + 0
-32 + -5x = -19

Add '32' to each side of the equation.
-32 + 32 + -5x = -19 + 32

Combine like terms: -32 + 32 = 0
0 + -5x = -19 + 32
-5x = -19 + 32

Combine like terms: -19 + 32 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6

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