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

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


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

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

Reorder the terms:
4x = 2(-8 + -1x) + -4(-2x + 3)
4x = (-8 * 2 + -1x * 2) + -4(-2x + 3)
4x = (-16 + -2x) + -4(-2x + 3)

Reorder the terms:
4x = -16 + -2x + -4(3 + -2x)
4x = -16 + -2x + (3 * -4 + -2x * -4)
4x = -16 + -2x + (-12 + 8x)

Reorder the terms:
4x = -16 + -12 + -2x + 8x

Combine like terms: -16 + -12 = -28
4x = -28 + -2x + 8x

Combine like terms: -2x + 8x = 6x
4x = -28 + 6x

Solving
4x = -28 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4x + -6x = -28 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-2x = -28 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2x = -28 + 0
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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