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

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Solution for 2(4+3x)-5(x-1)=2(8-5x) equation:


Simplifying
2(4 + 3x) + -5(x + -1) = 2(8 + -5x)
(4 * 2 + 3x * 2) + -5(x + -1) = 2(8 + -5x)
(8 + 6x) + -5(x + -1) = 2(8 + -5x)

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

Reorder the terms:
8 + 5 + 6x + -5x = 2(8 + -5x)

Combine like terms: 8 + 5 = 13
13 + 6x + -5x = 2(8 + -5x)

Combine like terms: 6x + -5x = 1x
13 + 1x = 2(8 + -5x)
13 + 1x = (8 * 2 + -5x * 2)
13 + 1x = (16 + -10x)

Solving
13 + 1x = 16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
13 + 1x + 10x = 16 + -10x + 10x

Combine like terms: 1x + 10x = 11x
13 + 11x = 16 + -10x + 10x

Combine like terms: -10x + 10x = 0
13 + 11x = 16 + 0
13 + 11x = 16

Add '-13' to each side of the equation.
13 + -13 + 11x = 16 + -13

Combine like terms: 13 + -13 = 0
0 + 11x = 16 + -13
11x = 16 + -13

Combine like terms: 16 + -13 = 3
11x = 3

Divide each side by '11'.
x = 0.2727272727

Simplifying
x = 0.2727272727

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