127-(7x+8)=7(x+2)+x

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Solution for 127-(7x+8)=7(x+2)+x equation:


Simplifying
127 + -1(7x + 8) = 7(x + 2) + x

Reorder the terms:
127 + -1(8 + 7x) = 7(x + 2) + x
127 + (8 * -1 + 7x * -1) = 7(x + 2) + x
127 + (-8 + -7x) = 7(x + 2) + x

Combine like terms: 127 + -8 = 119
119 + -7x = 7(x + 2) + x

Reorder the terms:
119 + -7x = 7(2 + x) + x
119 + -7x = (2 * 7 + x * 7) + x
119 + -7x = (14 + 7x) + x

Combine like terms: 7x + x = 8x
119 + -7x = 14 + 8x

Solving
119 + -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.
119 + -7x + -8x = 14 + 8x + -8x

Combine like terms: -7x + -8x = -15x
119 + -15x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
119 + -15x = 14 + 0
119 + -15x = 14

Add '-119' to each side of the equation.
119 + -119 + -15x = 14 + -119

Combine like terms: 119 + -119 = 0
0 + -15x = 14 + -119
-15x = 14 + -119

Combine like terms: 14 + -119 = -105
-15x = -105

Divide each side by '-15'.
x = 7

Simplifying
x = 7

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