10x-(17-6x)=13x-5(1-3x)

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Solution for 10x-(17-6x)=13x-5(1-3x) equation:


Simplifying
10x + -1(17 + -6x) = 13x + -5(1 + -3x)
10x + (17 * -1 + -6x * -1) = 13x + -5(1 + -3x)
10x + (-17 + 6x) = 13x + -5(1 + -3x)

Reorder the terms:
-17 + 10x + 6x = 13x + -5(1 + -3x)

Combine like terms: 10x + 6x = 16x
-17 + 16x = 13x + -5(1 + -3x)
-17 + 16x = 13x + (1 * -5 + -3x * -5)
-17 + 16x = 13x + (-5 + 15x)

Reorder the terms:
-17 + 16x = -5 + 13x + 15x

Combine like terms: 13x + 15x = 28x
-17 + 16x = -5 + 28x

Solving
-17 + 16x = -5 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-17 + 16x + -28x = -5 + 28x + -28x

Combine like terms: 16x + -28x = -12x
-17 + -12x = -5 + 28x + -28x

Combine like terms: 28x + -28x = 0
-17 + -12x = -5 + 0
-17 + -12x = -5

Add '17' to each side of the equation.
-17 + 17 + -12x = -5 + 17

Combine like terms: -17 + 17 = 0
0 + -12x = -5 + 17
-12x = -5 + 17

Combine like terms: -5 + 17 = 12
-12x = 12

Divide each side by '-12'.
x = -1

Simplifying
x = -1

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