x+7+7-3x=12(7+x)+6(11+9x)

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Solution for x+7+7-3x=12(7+x)+6(11+9x) equation:


Simplifying
x + 7 + 7 + -3x = 12(7 + x) + 6(11 + 9x)

Reorder the terms:
7 + 7 + x + -3x = 12(7 + x) + 6(11 + 9x)

Combine like terms: 7 + 7 = 14
14 + x + -3x = 12(7 + x) + 6(11 + 9x)

Combine like terms: x + -3x = -2x
14 + -2x = 12(7 + x) + 6(11 + 9x)
14 + -2x = (7 * 12 + x * 12) + 6(11 + 9x)
14 + -2x = (84 + 12x) + 6(11 + 9x)
14 + -2x = 84 + 12x + (11 * 6 + 9x * 6)
14 + -2x = 84 + 12x + (66 + 54x)

Reorder the terms:
14 + -2x = 84 + 66 + 12x + 54x

Combine like terms: 84 + 66 = 150
14 + -2x = 150 + 12x + 54x

Combine like terms: 12x + 54x = 66x
14 + -2x = 150 + 66x

Solving
14 + -2x = 150 + 66x

Solving for variable 'x'.

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

Add '-66x' to each side of the equation.
14 + -2x + -66x = 150 + 66x + -66x

Combine like terms: -2x + -66x = -68x
14 + -68x = 150 + 66x + -66x

Combine like terms: 66x + -66x = 0
14 + -68x = 150 + 0
14 + -68x = 150

Add '-14' to each side of the equation.
14 + -14 + -68x = 150 + -14

Combine like terms: 14 + -14 = 0
0 + -68x = 150 + -14
-68x = 150 + -14

Combine like terms: 150 + -14 = 136
-68x = 136

Divide each side by '-68'.
x = -2

Simplifying
x = -2

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