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

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


Simplifying
4x + -1(x + 6) = 8x + 6(2 + -1x)

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

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

Combine like terms: 4x + -1x = 3x
-6 + 3x = 8x + 6(2 + -1x)
-6 + 3x = 8x + (2 * 6 + -1x * 6)
-6 + 3x = 8x + (12 + -6x)

Reorder the terms:
-6 + 3x = 12 + 8x + -6x

Combine like terms: 8x + -6x = 2x
-6 + 3x = 12 + 2x

Solving
-6 + 3x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 3x + -2x = 12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-6 + 1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 1x = 12 + 0
-6 + 1x = 12

Add '6' to each side of the equation.
-6 + 6 + 1x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 12 + 6
1x = 12 + 6

Combine like terms: 12 + 6 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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