x-(8x-69)+(6x-50)=2x-(x-5)15

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Solution for x-(8x-69)+(6x-50)=2x-(x-5)15 equation: 


Simplifying
x + -1(8x + -69) + (6x + -50) = 2x + -1(x + -5) * 15

Reorder the terms:
x + -1(-69 + 8x) + (6x + -50) = 2x + -1(x + -5) * 15
x + (-69 * -1 + 8x * -1) + (6x + -50) = 2x + -1(x + -5) * 15
x + (69 + -8x) + (6x + -50) = 2x + -1(x + -5) * 15

Reorder the terms:
x + 69 + -8x + (-50 + 6x) = 2x + -1(x + -5) * 15

Remove parenthesis around (-50 + 6x)
x + 69 + -8x + -50 + 6x = 2x + -1(x + -5) * 15

Reorder the terms:
69 + -50 + x + -8x + 6x = 2x + -1(x + -5) * 15

Combine like terms: 69 + -50 = 19
19 + x + -8x + 6x = 2x + -1(x + -5) * 15

Combine like terms: x + -8x = -7x
19 + -7x + 6x = 2x + -1(x + -5) * 15

Combine like terms: -7x + 6x = -1x
19 + -1x = 2x + -1(x + -5) * 15

Reorder the terms:
19 + -1x = 2x + -1(-5 + x) * 15

Reorder the terms for easier multiplication:
19 + -1x = 2x + -1 * 15(-5 + x)

Multiply -1 * 15
19 + -1x = 2x + -15(-5 + x)
19 + -1x = 2x + (-5 * -15 + x * -15)
19 + -1x = 2x + (75 + -15x)

Reorder the terms:
19 + -1x = 75 + 2x + -15x

Combine like terms: 2x + -15x = -13x
19 + -1x = 75 + -13x

Solving
19 + -1x = 75 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
19 + -1x + 13x = 75 + -13x + 13x

Combine like terms: -1x + 13x = 12x
19 + 12x = 75 + -13x + 13x

Combine like terms: -13x + 13x = 0
19 + 12x = 75 + 0
19 + 12x = 75

Add '-19' to each side of the equation.
19 + -19 + 12x = 75 + -19

Combine like terms: 19 + -19 = 0
0 + 12x = 75 + -19
12x = 75 + -19

Combine like terms: 75 + -19 = 56
12x = 56

Divide each side by '12'.
x = 4.666666667

Simplifying
x = 4.666666667

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