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

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


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

Reorder the terms:
2(4 + 5x) + -4x = 8 + -1(2x + -5)
(4 * 2 + 5x * 2) + -4x = 8 + -1(2x + -5)
(8 + 10x) + -4x = 8 + -1(2x + -5)

Combine like terms: 10x + -4x = 6x
8 + 6x = 8 + -1(2x + -5)

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

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

Solving
8 + 6x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 6x + 2x = 13 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
8 + 8x = 13 + 0
8 + 8x = 13

Add '-8' to each side of the equation.
8 + -8 + 8x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 13 + -8
8x = 13 + -8

Combine like terms: 13 + -8 = 5
8x = 5

Divide each side by '8'.
x = 0.625

Simplifying
x = 0.625

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