8x-20+x=-(5-2x)+3(x-4)

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Solution for 8x-20+x=-(5-2x)+3(x-4) equation:


Simplifying
8x + -20 + x = -1(5 + -2x) + 3(x + -4)

Reorder the terms:
-20 + 8x + x = -1(5 + -2x) + 3(x + -4)

Combine like terms: 8x + x = 9x
-20 + 9x = -1(5 + -2x) + 3(x + -4)
-20 + 9x = (5 * -1 + -2x * -1) + 3(x + -4)
-20 + 9x = (-5 + 2x) + 3(x + -4)

Reorder the terms:
-20 + 9x = -5 + 2x + 3(-4 + x)
-20 + 9x = -5 + 2x + (-4 * 3 + x * 3)
-20 + 9x = -5 + 2x + (-12 + 3x)

Reorder the terms:
-20 + 9x = -5 + -12 + 2x + 3x

Combine like terms: -5 + -12 = -17
-20 + 9x = -17 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-20 + 9x = -17 + 5x

Solving
-20 + 9x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-20 + 9x + -5x = -17 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-20 + 4x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + 4x = -17 + 0
-20 + 4x = -17

Add '20' to each side of the equation.
-20 + 20 + 4x = -17 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = -17 + 20
4x = -17 + 20

Combine like terms: -17 + 20 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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