-(34x-17)-(21x+37)-28x=-(12x-26)+14x

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Solution for -(34x-17)-(21x+37)-28x=-(12x-26)+14x equation: 


Simplifying
-1(34x + -17) + -1(21x + 37) + -28x = -1(12x + -26) + 14x

Reorder the terms:
-1(-17 + 34x) + -1(21x + 37) + -28x = -1(12x + -26) + 14x
(-17 * -1 + 34x * -1) + -1(21x + 37) + -28x = -1(12x + -26) + 14x
(17 + -34x) + -1(21x + 37) + -28x = -1(12x + -26) + 14x

Reorder the terms:
17 + -34x + -1(37 + 21x) + -28x = -1(12x + -26) + 14x
17 + -34x + (37 * -1 + 21x * -1) + -28x = -1(12x + -26) + 14x
17 + -34x + (-37 + -21x) + -28x = -1(12x + -26) + 14x

Reorder the terms:
17 + -37 + -34x + -21x + -28x = -1(12x + -26) + 14x

Combine like terms: 17 + -37 = -20
-20 + -34x + -21x + -28x = -1(12x + -26) + 14x

Combine like terms: -34x + -21x = -55x
-20 + -55x + -28x = -1(12x + -26) + 14x

Combine like terms: -55x + -28x = -83x
-20 + -83x = -1(12x + -26) + 14x

Reorder the terms:
-20 + -83x = -1(-26 + 12x) + 14x
-20 + -83x = (-26 * -1 + 12x * -1) + 14x
-20 + -83x = (26 + -12x) + 14x

Combine like terms: -12x + 14x = 2x
-20 + -83x = 26 + 2x

Solving
-20 + -83x = 26 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + -83x + -2x = 26 + 2x + -2x

Combine like terms: -83x + -2x = -85x
-20 + -85x = 26 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + -85x = 26 + 0
-20 + -85x = 26

Add '20' to each side of the equation.
-20 + 20 + -85x = 26 + 20

Combine like terms: -20 + 20 = 0
0 + -85x = 26 + 20
-85x = 26 + 20

Combine like terms: 26 + 20 = 46
-85x = 46

Divide each side by '-85'.
x = -0.5411764706

Simplifying
x = -0.5411764706

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