130-(7x+5)=7(x+5)+x

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Solution for 130-(7x+5)=7(x+5)+x equation: 


Simplifying
130 + -1(7x + 5) = 7(x + 5) + x

Reorder the terms:
130 + -1(5 + 7x) = 7(x + 5) + x
130 + (5 * -1 + 7x * -1) = 7(x + 5) + x
130 + (-5 + -7x) = 7(x + 5) + x

Combine like terms: 130 + -5 = 125
125 + -7x = 7(x + 5) + x

Reorder the terms:
125 + -7x = 7(5 + x) + x
125 + -7x = (5 * 7 + x * 7) + x
125 + -7x = (35 + 7x) + x

Combine like terms: 7x + x = 8x
125 + -7x = 35 + 8x

Solving
125 + -7x = 35 + 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.
125 + -7x + -8x = 35 + 8x + -8x

Combine like terms: -7x + -8x = -15x
125 + -15x = 35 + 8x + -8x

Combine like terms: 8x + -8x = 0
125 + -15x = 35 + 0
125 + -15x = 35

Add '-125' to each side of the equation.
125 + -125 + -15x = 35 + -125

Combine like terms: 125 + -125 = 0
0 + -15x = 35 + -125
-15x = 35 + -125

Combine like terms: 35 + -125 = -90
-15x = -90

Divide each side by '-15'.
x = 6

Simplifying
x = 6

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