95-(5x+9)=5(x+4)+x

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Solution for 95-(5x+9)=5(x+4)+x equation:


Simplifying
95 + -1(5x + 9) = 5(x + 4) + x

Reorder the terms:
95 + -1(9 + 5x) = 5(x + 4) + x
95 + (9 * -1 + 5x * -1) = 5(x + 4) + x
95 + (-9 + -5x) = 5(x + 4) + x

Combine like terms: 95 + -9 = 86
86 + -5x = 5(x + 4) + x

Reorder the terms:
86 + -5x = 5(4 + x) + x
86 + -5x = (4 * 5 + x * 5) + x
86 + -5x = (20 + 5x) + x

Combine like terms: 5x + x = 6x
86 + -5x = 20 + 6x

Solving
86 + -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.
86 + -5x + -6x = 20 + 6x + -6x

Combine like terms: -5x + -6x = -11x
86 + -11x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
86 + -11x = 20 + 0
86 + -11x = 20

Add '-86' to each side of the equation.
86 + -86 + -11x = 20 + -86

Combine like terms: 86 + -86 = 0
0 + -11x = 20 + -86
-11x = 20 + -86

Combine like terms: 20 + -86 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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