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

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


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

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

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

Combine like terms: -2 + 5 = 3
3 + 2x = 8 + -8(x + -1)

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

Combine like terms: 8 + 8 = 16
3 + 2x = 16 + -8x

Solving
3 + 2x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + 2x + 8x = 16 + -8x + 8x

Combine like terms: 2x + 8x = 10x
3 + 10x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 10x = 16 + 0
3 + 10x = 16

Add '-3' to each side of the equation.
3 + -3 + 10x = 16 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 16 + -3
10x = 16 + -3

Combine like terms: 16 + -3 = 13
10x = 13

Divide each side by '10'.
x = 1.3

Simplifying
x = 1.3

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