2(x-1)-(3x-5)=3(5x-1)-10

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Solution for 2(x-1)-(3x-5)=3(5x-1)-10 equation:


Simplifying
2(x + -1) + -1(3x + -5) = 3(5x + -1) + -10

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

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

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

Combine like terms: -2 + 5 = 3
3 + 2x + -3x = 3(5x + -1) + -10

Combine like terms: 2x + -3x = -1x
3 + -1x = 3(5x + -1) + -10

Reorder the terms:
3 + -1x = 3(-1 + 5x) + -10
3 + -1x = (-1 * 3 + 5x * 3) + -10
3 + -1x = (-3 + 15x) + -10

Reorder the terms:
3 + -1x = -3 + -10 + 15x

Combine like terms: -3 + -10 = -13
3 + -1x = -13 + 15x

Solving
3 + -1x = -13 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
3 + -1x + -15x = -13 + 15x + -15x

Combine like terms: -1x + -15x = -16x
3 + -16x = -13 + 15x + -15x

Combine like terms: 15x + -15x = 0
3 + -16x = -13 + 0
3 + -16x = -13

Add '-3' to each side of the equation.
3 + -3 + -16x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = -13 + -3
-16x = -13 + -3

Combine like terms: -13 + -3 = -16
-16x = -16

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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