2x+5-8x+11=7(x+6)+9(12+6x)

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Solution for 2x+5-8x+11=7(x+6)+9(12+6x) equation:


Simplifying
2x + 5 + -8x + 11 = 7(x + 6) + 9(12 + 6x)

Reorder the terms:
5 + 11 + 2x + -8x = 7(x + 6) + 9(12 + 6x)

Combine like terms: 5 + 11 = 16
16 + 2x + -8x = 7(x + 6) + 9(12 + 6x)

Combine like terms: 2x + -8x = -6x
16 + -6x = 7(x + 6) + 9(12 + 6x)

Reorder the terms:
16 + -6x = 7(6 + x) + 9(12 + 6x)
16 + -6x = (6 * 7 + x * 7) + 9(12 + 6x)
16 + -6x = (42 + 7x) + 9(12 + 6x)
16 + -6x = 42 + 7x + (12 * 9 + 6x * 9)
16 + -6x = 42 + 7x + (108 + 54x)

Reorder the terms:
16 + -6x = 42 + 108 + 7x + 54x

Combine like terms: 42 + 108 = 150
16 + -6x = 150 + 7x + 54x

Combine like terms: 7x + 54x = 61x
16 + -6x = 150 + 61x

Solving
16 + -6x = 150 + 61x

Solving for variable 'x'.

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

Add '-61x' to each side of the equation.
16 + -6x + -61x = 150 + 61x + -61x

Combine like terms: -6x + -61x = -67x
16 + -67x = 150 + 61x + -61x

Combine like terms: 61x + -61x = 0
16 + -67x = 150 + 0
16 + -67x = 150

Add '-16' to each side of the equation.
16 + -16 + -67x = 150 + -16

Combine like terms: 16 + -16 = 0
0 + -67x = 150 + -16
-67x = 150 + -16

Combine like terms: 150 + -16 = 134
-67x = 134

Divide each side by '-67'.
x = -2

Simplifying
x = -2

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