110-(5x+3)=5(x+6)+x

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Solution for 110-(5x+3)=5(x+6)+x equation:


Simplifying
110 + -1(5x + 3) = 5(x + 6) + x

Reorder the terms:
110 + -1(3 + 5x) = 5(x + 6) + x
110 + (3 * -1 + 5x * -1) = 5(x + 6) + x
110 + (-3 + -5x) = 5(x + 6) + x

Combine like terms: 110 + -3 = 107
107 + -5x = 5(x + 6) + x

Reorder the terms:
107 + -5x = 5(6 + x) + x
107 + -5x = (6 * 5 + x * 5) + x
107 + -5x = (30 + 5x) + x

Combine like terms: 5x + x = 6x
107 + -5x = 30 + 6x

Solving
107 + -5x = 30 + 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.
107 + -5x + -6x = 30 + 6x + -6x

Combine like terms: -5x + -6x = -11x
107 + -11x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
107 + -11x = 30 + 0
107 + -11x = 30

Add '-107' to each side of the equation.
107 + -107 + -11x = 30 + -107

Combine like terms: 107 + -107 = 0
0 + -11x = 30 + -107
-11x = 30 + -107

Combine like terms: 30 + -107 = -77
-11x = -77

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

Simplifying
x = 7

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