9-9(x-6)+8=7(x+2)

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


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

Reorder the terms:
9 + -9(-6 + x) + 8 = 7(x + 2)
9 + (-6 * -9 + x * -9) + 8 = 7(x + 2)
9 + (54 + -9x) + 8 = 7(x + 2)

Reorder the terms:
9 + 54 + 8 + -9x = 7(x + 2)

Combine like terms: 9 + 54 = 63
63 + 8 + -9x = 7(x + 2)

Combine like terms: 63 + 8 = 71
71 + -9x = 7(x + 2)

Reorder the terms:
71 + -9x = 7(2 + x)
71 + -9x = (2 * 7 + x * 7)
71 + -9x = (14 + 7x)

Solving
71 + -9x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
71 + -9x + -7x = 14 + 7x + -7x

Combine like terms: -9x + -7x = -16x
71 + -16x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
71 + -16x = 14 + 0
71 + -16x = 14

Add '-71' to each side of the equation.
71 + -71 + -16x = 14 + -71

Combine like terms: 71 + -71 = 0
0 + -16x = 14 + -71
-16x = 14 + -71

Combine like terms: 14 + -71 = -57
-16x = -57

Divide each side by '-16'.
x = 3.5625

Simplifying
x = 3.5625

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