3(x-1)-(4x-5)=2(5x-1)

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Solution for 3(x-1)-(4x-5)=2(5x-1) equation:


Simplifying
3(x + -1) + -1(4x + -5) = 2(5x + -1)

Reorder the terms:
3(-1 + x) + -1(4x + -5) = 2(5x + -1)
(-1 * 3 + x * 3) + -1(4x + -5) = 2(5x + -1)
(-3 + 3x) + -1(4x + -5) = 2(5x + -1)

Reorder the terms:
-3 + 3x + -1(-5 + 4x) = 2(5x + -1)
-3 + 3x + (-5 * -1 + 4x * -1) = 2(5x + -1)
-3 + 3x + (5 + -4x) = 2(5x + -1)

Reorder the terms:
-3 + 5 + 3x + -4x = 2(5x + -1)

Combine like terms: -3 + 5 = 2
2 + 3x + -4x = 2(5x + -1)

Combine like terms: 3x + -4x = -1x
2 + -1x = 2(5x + -1)

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

Solving
2 + -1x = -2 + 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.
2 + -1x + -10x = -2 + 10x + -10x

Combine like terms: -1x + -10x = -11x
2 + -11x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -11x = -2 + 0
2 + -11x = -2

Add '-2' to each side of the equation.
2 + -2 + -11x = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = -2 + -2
-11x = -2 + -2

Combine like terms: -2 + -2 = -4
-11x = -4

Divide each side by '-11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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