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

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


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

Reorder the terms:
5x + -2(-8 + 2x) = 5(2x + -7) + 7x
5x + (-8 * -2 + 2x * -2) = 5(2x + -7) + 7x
5x + (16 + -4x) = 5(2x + -7) + 7x

Reorder the terms:
16 + 5x + -4x = 5(2x + -7) + 7x

Combine like terms: 5x + -4x = 1x
16 + 1x = 5(2x + -7) + 7x

Reorder the terms:
16 + 1x = 5(-7 + 2x) + 7x
16 + 1x = (-7 * 5 + 2x * 5) + 7x
16 + 1x = (-35 + 10x) + 7x

Combine like terms: 10x + 7x = 17x
16 + 1x = -35 + 17x

Solving
16 + 1x = -35 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
16 + 1x + -17x = -35 + 17x + -17x

Combine like terms: 1x + -17x = -16x
16 + -16x = -35 + 17x + -17x

Combine like terms: 17x + -17x = 0
16 + -16x = -35 + 0
16 + -16x = -35

Add '-16' to each side of the equation.
16 + -16 + -16x = -35 + -16

Combine like terms: 16 + -16 = 0
0 + -16x = -35 + -16
-16x = -35 + -16

Combine like terms: -35 + -16 = -51
-16x = -51

Divide each side by '-16'.
x = 3.1875

Simplifying
x = 3.1875

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