2(x-1)-(3x-5)=2(5x-1)-17

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Solution for 2(x-1)-(3x-5)=2(5x-1)-17 equation:


Simplifying
2(x + -1) + -1(3x + -5) = 2(5x + -1) + -17

Reorder the terms:
2(-1 + x) + -1(3x + -5) = 2(5x + -1) + -17
(-1 * 2 + x * 2) + -1(3x + -5) = 2(5x + -1) + -17
(-2 + 2x) + -1(3x + -5) = 2(5x + -1) + -17

Reorder the terms:
-2 + 2x + -1(-5 + 3x) = 2(5x + -1) + -17
-2 + 2x + (-5 * -1 + 3x * -1) = 2(5x + -1) + -17
-2 + 2x + (5 + -3x) = 2(5x + -1) + -17

Reorder the terms:
-2 + 5 + 2x + -3x = 2(5x + -1) + -17

Combine like terms: -2 + 5 = 3
3 + 2x + -3x = 2(5x + -1) + -17

Combine like terms: 2x + -3x = -1x
3 + -1x = 2(5x + -1) + -17

Reorder the terms:
3 + -1x = 2(-1 + 5x) + -17
3 + -1x = (-1 * 2 + 5x * 2) + -17
3 + -1x = (-2 + 10x) + -17

Reorder the terms:
3 + -1x = -2 + -17 + 10x

Combine like terms: -2 + -17 = -19
3 + -1x = -19 + 10x

Solving
3 + -1x = -19 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + -1x + -10x = -19 + 10x + -10x

Combine like terms: -1x + -10x = -11x
3 + -11x = -19 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -11x = -19 + 0
3 + -11x = -19

Add '-3' to each side of the equation.
3 + -3 + -11x = -19 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = -19 + -3
-11x = -19 + -3

Combine like terms: -19 + -3 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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