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

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


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

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

Combine like terms: 2 + 5 = 7
8(7 + -2x) = 2(8 + -3x)
(7 * 8 + -2x * 8) = 2(8 + -3x)
(56 + -16x) = 2(8 + -3x)
56 + -16x = (8 * 2 + -3x * 2)
56 + -16x = (16 + -6x)

Solving
56 + -16x = 16 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
56 + -16x + 6x = 16 + -6x + 6x

Combine like terms: -16x + 6x = -10x
56 + -10x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
56 + -10x = 16 + 0
56 + -10x = 16

Add '-56' to each side of the equation.
56 + -56 + -10x = 16 + -56

Combine like terms: 56 + -56 = 0
0 + -10x = 16 + -56
-10x = 16 + -56

Combine like terms: 16 + -56 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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