2(3x-8)-4x=5(8-x)

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Solution for 2(3x-8)-4x=5(8-x) equation:


Simplifying
2(3x + -8) + -4x = 5(8 + -1x)

Reorder the terms:
2(-8 + 3x) + -4x = 5(8 + -1x)
(-8 * 2 + 3x * 2) + -4x = 5(8 + -1x)
(-16 + 6x) + -4x = 5(8 + -1x)

Combine like terms: 6x + -4x = 2x
-16 + 2x = 5(8 + -1x)
-16 + 2x = (8 * 5 + -1x * 5)
-16 + 2x = (40 + -5x)

Solving
-16 + 2x = 40 + -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.
-16 + 2x + 5x = 40 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-16 + 7x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
-16 + 7x = 40 + 0
-16 + 7x = 40

Add '16' to each side of the equation.
-16 + 16 + 7x = 40 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 40 + 16
7x = 40 + 16

Combine like terms: 40 + 16 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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