126+(6x+13)=6(x+8)+x

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Solution for 126+(6x+13)=6(x+8)+x equation:


Simplifying
126 + (6x + 13) = 6(x + 8) + x

Reorder the terms:
126 + (13 + 6x) = 6(x + 8) + x

Remove parenthesis around (13 + 6x)
126 + 13 + 6x = 6(x + 8) + x

Combine like terms: 126 + 13 = 139
139 + 6x = 6(x + 8) + x

Reorder the terms:
139 + 6x = 6(8 + x) + x
139 + 6x = (8 * 6 + x * 6) + x
139 + 6x = (48 + 6x) + x

Combine like terms: 6x + x = 7x
139 + 6x = 48 + 7x

Solving
139 + 6x = 48 + 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.
139 + 6x + -7x = 48 + 7x + -7x

Combine like terms: 6x + -7x = -1x
139 + -1x = 48 + 7x + -7x

Combine like terms: 7x + -7x = 0
139 + -1x = 48 + 0
139 + -1x = 48

Add '-139' to each side of the equation.
139 + -139 + -1x = 48 + -139

Combine like terms: 139 + -139 = 0
0 + -1x = 48 + -139
-1x = 48 + -139

Combine like terms: 48 + -139 = -91
-1x = -91

Divide each side by '-1'.
x = 91

Simplifying
x = 91

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