6(3-2x)=118+8(9x-2)

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Solution for 6(3-2x)=118+8(9x-2) equation:


Simplifying
6(3 + -2x) = 118 + 8(9x + -2)
(3 * 6 + -2x * 6) = 118 + 8(9x + -2)
(18 + -12x) = 118 + 8(9x + -2)

Reorder the terms:
18 + -12x = 118 + 8(-2 + 9x)
18 + -12x = 118 + (-2 * 8 + 9x * 8)
18 + -12x = 118 + (-16 + 72x)

Combine like terms: 118 + -16 = 102
18 + -12x = 102 + 72x

Solving
18 + -12x = 102 + 72x

Solving for variable 'x'.

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

Add '-72x' to each side of the equation.
18 + -12x + -72x = 102 + 72x + -72x

Combine like terms: -12x + -72x = -84x
18 + -84x = 102 + 72x + -72x

Combine like terms: 72x + -72x = 0
18 + -84x = 102 + 0
18 + -84x = 102

Add '-18' to each side of the equation.
18 + -18 + -84x = 102 + -18

Combine like terms: 18 + -18 = 0
0 + -84x = 102 + -18
-84x = 102 + -18

Combine like terms: 102 + -18 = 84
-84x = 84

Divide each side by '-84'.
x = -1

Simplifying
x = -1

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