2(5x-8)-8(x-1)=8

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Solution for 2(5x-8)-8(x-1)=8 equation:


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

Reorder the terms:
2(-8 + 5x) + -8(x + -1) = 8
(-8 * 2 + 5x * 2) + -8(x + -1) = 8
(-16 + 10x) + -8(x + -1) = 8

Reorder the terms:
-16 + 10x + -8(-1 + x) = 8
-16 + 10x + (-1 * -8 + x * -8) = 8
-16 + 10x + (8 + -8x) = 8

Reorder the terms:
-16 + 8 + 10x + -8x = 8

Combine like terms: -16 + 8 = -8
-8 + 10x + -8x = 8

Combine like terms: 10x + -8x = 2x
-8 + 2x = 8

Solving
-8 + 2x = 8

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 8 + 8
2x = 8 + 8

Combine like terms: 8 + 8 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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