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

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


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

Reorder the terms:
6(-6 + x) = 2x + -1(x + 8)
(-6 * 6 + x * 6) = 2x + -1(x + 8)
(-36 + 6x) = 2x + -1(x + 8)

Reorder the terms:
-36 + 6x = 2x + -1(8 + x)
-36 + 6x = 2x + (8 * -1 + x * -1)
-36 + 6x = 2x + (-8 + -1x)

Reorder the terms:
-36 + 6x = -8 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-36 + 6x = -8 + 1x

Solving
-36 + 6x = -8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-36 + 6x + -1x = -8 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-36 + 5x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-36 + 5x = -8 + 0
-36 + 5x = -8

Add '36' to each side of the equation.
-36 + 36 + 5x = -8 + 36

Combine like terms: -36 + 36 = 0
0 + 5x = -8 + 36
5x = -8 + 36

Combine like terms: -8 + 36 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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