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

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


Simplifying
2x + -5 + 4 + 8 + -5(5 + -3x) + -4 = 2x + -8 + 5(4 + -1x)
2x + -5 + 4 + 8 + (5 * -5 + -3x * -5) + -4 = 2x + -8 + 5(4 + -1x)
2x + -5 + 4 + 8 + (-25 + 15x) + -4 = 2x + -8 + 5(4 + -1x)

Reorder the terms:
-5 + 4 + 8 + -25 + -4 + 2x + 15x = 2x + -8 + 5(4 + -1x)

Combine like terms: -5 + 4 = -1
-1 + 8 + -25 + -4 + 2x + 15x = 2x + -8 + 5(4 + -1x)

Combine like terms: -1 + 8 = 7
7 + -25 + -4 + 2x + 15x = 2x + -8 + 5(4 + -1x)

Combine like terms: 7 + -25 = -18
-18 + -4 + 2x + 15x = 2x + -8 + 5(4 + -1x)

Combine like terms: -18 + -4 = -22
-22 + 2x + 15x = 2x + -8 + 5(4 + -1x)

Combine like terms: 2x + 15x = 17x
-22 + 17x = 2x + -8 + 5(4 + -1x)
-22 + 17x = 2x + -8 + (4 * 5 + -1x * 5)
-22 + 17x = 2x + -8 + (20 + -5x)

Reorder the terms:
-22 + 17x = -8 + 20 + 2x + -5x

Combine like terms: -8 + 20 = 12
-22 + 17x = 12 + 2x + -5x

Combine like terms: 2x + -5x = -3x
-22 + 17x = 12 + -3x

Solving
-22 + 17x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-22 + 17x + 3x = 12 + -3x + 3x

Combine like terms: 17x + 3x = 20x
-22 + 20x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-22 + 20x = 12 + 0
-22 + 20x = 12

Add '22' to each side of the equation.
-22 + 22 + 20x = 12 + 22

Combine like terms: -22 + 22 = 0
0 + 20x = 12 + 22
20x = 12 + 22

Combine like terms: 12 + 22 = 34
20x = 34

Divide each side by '20'.
x = 1.7

Simplifying
x = 1.7

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