6x-7x=3(x-8)-4(-6+2x)

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Solution for 6x-7x=3(x-8)-4(-6+2x) equation: 


Simplifying
6x + -7x = 3(x + -8) + -4(-6 + 2x)

Combine like terms: 6x + -7x = -1x
-1x = 3(x + -8) + -4(-6 + 2x)

Reorder the terms:
-1x = 3(-8 + x) + -4(-6 + 2x)
-1x = (-8 * 3 + x * 3) + -4(-6 + 2x)
-1x = (-24 + 3x) + -4(-6 + 2x)
-1x = -24 + 3x + (-6 * -4 + 2x * -4)
-1x = -24 + 3x + (24 + -8x)

Reorder the terms:
-1x = -24 + 24 + 3x + -8x

Combine like terms: -24 + 24 = 0
-1x = 0 + 3x + -8x
-1x = 3x + -8x

Combine like terms: 3x + -8x = -5x
-1x = -5x

Solving
-1x = -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.
-1x + 5x = -5x + 5x

Combine like terms: -1x + 5x = 4x
4x = -5x + 5x

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

Divide each side by '4'.
x = 0

Simplifying
x = 0

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