2(x-2)+6x-4=-5x-8+10x

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Solution for 2(x-2)+6x-4=-5x-8+10x equation:


Simplifying
2(x + -2) + 6x + -4 = -5x + -8 + 10x

Reorder the terms:
2(-2 + x) + 6x + -4 = -5x + -8 + 10x
(-2 * 2 + x * 2) + 6x + -4 = -5x + -8 + 10x
(-4 + 2x) + 6x + -4 = -5x + -8 + 10x

Reorder the terms:
-4 + -4 + 2x + 6x = -5x + -8 + 10x

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

Combine like terms: 2x + 6x = 8x
-8 + 8x = -5x + -8 + 10x

Reorder the terms:
-8 + 8x = -8 + -5x + 10x

Combine like terms: -5x + 10x = 5x
-8 + 8x = -8 + 5x

Add '8' to each side of the equation.
-8 + 8 + 8x = -8 + 8 + 5x

Combine like terms: -8 + 8 = 0
0 + 8x = -8 + 8 + 5x
8x = -8 + 8 + 5x

Combine like terms: -8 + 8 = 0
8x = 0 + 5x
8x = 5x

Solving
8x = 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.
8x + -5x = 5x + -5x

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

Combine like terms: 5x + -5x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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