130-(6x+11)=6(x+9)+x

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Solution for 130-(6x+11)=6(x+9)+x equation:


Simplifying
130 + -1(6x + 11) = 6(x + 9) + x

Reorder the terms:
130 + -1(11 + 6x) = 6(x + 9) + x
130 + (11 * -1 + 6x * -1) = 6(x + 9) + x
130 + (-11 + -6x) = 6(x + 9) + x

Combine like terms: 130 + -11 = 119
119 + -6x = 6(x + 9) + x

Reorder the terms:
119 + -6x = 6(9 + x) + x
119 + -6x = (9 * 6 + x * 6) + x
119 + -6x = (54 + 6x) + x

Combine like terms: 6x + x = 7x
119 + -6x = 54 + 7x

Solving
119 + -6x = 54 + 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.
119 + -6x + -7x = 54 + 7x + -7x

Combine like terms: -6x + -7x = -13x
119 + -13x = 54 + 7x + -7x

Combine like terms: 7x + -7x = 0
119 + -13x = 54 + 0
119 + -13x = 54

Add '-119' to each side of the equation.
119 + -119 + -13x = 54 + -119

Combine like terms: 119 + -119 = 0
0 + -13x = 54 + -119
-13x = 54 + -119

Combine like terms: 54 + -119 = -65
-13x = -65

Divide each side by '-13'.
x = 5

Simplifying
x = 5

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