110-(5x+13)=5(x+4)+x

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Solution for 110-(5x+13)=5(x+4)+x equation:


Simplifying
110 + -1(5x + 13) = 5(x + 4) + x

Reorder the terms:
110 + -1(13 + 5x) = 5(x + 4) + x
110 + (13 * -1 + 5x * -1) = 5(x + 4) + x
110 + (-13 + -5x) = 5(x + 4) + x

Combine like terms: 110 + -13 = 97
97 + -5x = 5(x + 4) + x

Reorder the terms:
97 + -5x = 5(4 + x) + x
97 + -5x = (4 * 5 + x * 5) + x
97 + -5x = (20 + 5x) + x

Combine like terms: 5x + x = 6x
97 + -5x = 20 + 6x

Solving
97 + -5x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
97 + -5x + -6x = 20 + 6x + -6x

Combine like terms: -5x + -6x = -11x
97 + -11x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
97 + -11x = 20 + 0
97 + -11x = 20

Add '-97' to each side of the equation.
97 + -97 + -11x = 20 + -97

Combine like terms: 97 + -97 = 0
0 + -11x = 20 + -97
-11x = 20 + -97

Combine like terms: 20 + -97 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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