99-(7x+10)=7(x+2)+x

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Solution for 99-(7x+10)=7(x+2)+x equation: 


Simplifying
99 + -1(7x + 10) = 7(x + 2) + x

Reorder the terms:
99 + -1(10 + 7x) = 7(x + 2) + x
99 + (10 * -1 + 7x * -1) = 7(x + 2) + x
99 + (-10 + -7x) = 7(x + 2) + x

Combine like terms: 99 + -10 = 89
89 + -7x = 7(x + 2) + x

Reorder the terms:
89 + -7x = 7(2 + x) + x
89 + -7x = (2 * 7 + x * 7) + x
89 + -7x = (14 + 7x) + x

Combine like terms: 7x + x = 8x
89 + -7x = 14 + 8x

Solving
89 + -7x = 14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
89 + -7x + -8x = 14 + 8x + -8x

Combine like terms: -7x + -8x = -15x
89 + -15x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
89 + -15x = 14 + 0
89 + -15x = 14

Add '-89' to each side of the equation.
89 + -89 + -15x = 14 + -89

Combine like terms: 89 + -89 = 0
0 + -15x = 14 + -89
-15x = 14 + -89

Combine like terms: 14 + -89 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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