88-(6x+5)=6(x+3)+x

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Solution for 88-(6x+5)=6(x+3)+x equation:


Simplifying
88 + -1(6x + 5) = 6(x + 3) + x

Reorder the terms:
88 + -1(5 + 6x) = 6(x + 3) + x
88 + (5 * -1 + 6x * -1) = 6(x + 3) + x
88 + (-5 + -6x) = 6(x + 3) + x

Combine like terms: 88 + -5 = 83
83 + -6x = 6(x + 3) + x

Reorder the terms:
83 + -6x = 6(3 + x) + x
83 + -6x = (3 * 6 + x * 6) + x
83 + -6x = (18 + 6x) + x

Combine like terms: 6x + x = 7x
83 + -6x = 18 + 7x

Solving
83 + -6x = 18 + 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.
83 + -6x + -7x = 18 + 7x + -7x

Combine like terms: -6x + -7x = -13x
83 + -13x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
83 + -13x = 18 + 0
83 + -13x = 18

Add '-83' to each side of the equation.
83 + -83 + -13x = 18 + -83

Combine like terms: 83 + -83 = 0
0 + -13x = 18 + -83
-13x = 18 + -83

Combine like terms: 18 + -83 = -65
-13x = -65

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

Simplifying
x = 5

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