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

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


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

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

Reorder the terms:
2 + 4x + -1x = x + 8 + 5x

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

Reorder the terms:
2 + 3x = 8 + x + 5x

Combine like terms: x + 5x = 6x
2 + 3x = 8 + 6x

Solving
2 + 3x = 8 + 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.
2 + 3x + -6x = 8 + 6x + -6x

Combine like terms: 3x + -6x = -3x
2 + -3x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -3x = 8 + 0
2 + -3x = 8

Add '-2' to each side of the equation.
2 + -2 + -3x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 8 + -2
-3x = 8 + -2

Combine like terms: 8 + -2 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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