101-(5x+6)=5(x+8)+x

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Solution for 101-(5x+6)=5(x+8)+x equation:


Simplifying
101 + -1(5x + 6) = 5(x + 8) + x

Reorder the terms:
101 + -1(6 + 5x) = 5(x + 8) + x
101 + (6 * -1 + 5x * -1) = 5(x + 8) + x
101 + (-6 + -5x) = 5(x + 8) + x

Combine like terms: 101 + -6 = 95
95 + -5x = 5(x + 8) + x

Reorder the terms:
95 + -5x = 5(8 + x) + x
95 + -5x = (8 * 5 + x * 5) + x
95 + -5x = (40 + 5x) + x

Combine like terms: 5x + x = 6x
95 + -5x = 40 + 6x

Solving
95 + -5x = 40 + 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.
95 + -5x + -6x = 40 + 6x + -6x

Combine like terms: -5x + -6x = -11x
95 + -11x = 40 + 6x + -6x

Combine like terms: 6x + -6x = 0
95 + -11x = 40 + 0
95 + -11x = 40

Add '-95' to each side of the equation.
95 + -95 + -11x = 40 + -95

Combine like terms: 95 + -95 = 0
0 + -11x = 40 + -95
-11x = 40 + -95

Combine like terms: 40 + -95 = -55
-11x = -55

Divide each side by '-11'.
x = 5

Simplifying
x = 5

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