-2(6x-9)+2x=6(x+6)

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Solution for -2(6x-9)+2x=6(x+6) equation:


Simplifying
-2(6x + -9) + 2x = 6(x + 6)

Reorder the terms:
-2(-9 + 6x) + 2x = 6(x + 6)
(-9 * -2 + 6x * -2) + 2x = 6(x + 6)
(18 + -12x) + 2x = 6(x + 6)

Combine like terms: -12x + 2x = -10x
18 + -10x = 6(x + 6)

Reorder the terms:
18 + -10x = 6(6 + x)
18 + -10x = (6 * 6 + x * 6)
18 + -10x = (36 + 6x)

Solving
18 + -10x = 36 + 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.
18 + -10x + -6x = 36 + 6x + -6x

Combine like terms: -10x + -6x = -16x
18 + -16x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -16x = 36 + 0
18 + -16x = 36

Add '-18' to each side of the equation.
18 + -18 + -16x = 36 + -18

Combine like terms: 18 + -18 = 0
0 + -16x = 36 + -18
-16x = 36 + -18

Combine like terms: 36 + -18 = 18
-16x = 18

Divide each side by '-16'.
x = -1.125

Simplifying
x = -1.125

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