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

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


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

Reorder the terms:
2(-1 + 5x) + -1 = 3(x + -1) + 5 + -4x
(-1 * 2 + 5x * 2) + -1 = 3(x + -1) + 5 + -4x
(-2 + 10x) + -1 = 3(x + -1) + 5 + -4x

Reorder the terms:
-2 + -1 + 10x = 3(x + -1) + 5 + -4x

Combine like terms: -2 + -1 = -3
-3 + 10x = 3(x + -1) + 5 + -4x

Reorder the terms:
-3 + 10x = 3(-1 + x) + 5 + -4x
-3 + 10x = (-1 * 3 + x * 3) + 5 + -4x
-3 + 10x = (-3 + 3x) + 5 + -4x

Reorder the terms:
-3 + 10x = -3 + 5 + 3x + -4x

Combine like terms: -3 + 5 = 2
-3 + 10x = 2 + 3x + -4x

Combine like terms: 3x + -4x = -1x
-3 + 10x = 2 + -1x

Solving
-3 + 10x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 10x + x = 2 + -1x + x

Combine like terms: 10x + x = 11x
-3 + 11x = 2 + -1x + x

Combine like terms: -1x + x = 0
-3 + 11x = 2 + 0
-3 + 11x = 2

Add '3' to each side of the equation.
-3 + 3 + 11x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 2 + 3
11x = 2 + 3

Combine like terms: 2 + 3 = 5
11x = 5

Divide each side by '11'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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