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

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


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

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

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

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

Solving
-1 + 4x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-1 + 4x + 2x = -3 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-1 + 6x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 6x = -3 + 0
-1 + 6x = -3

Add '1' to each side of the equation.
-1 + 1 + 6x = -3 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = -3 + 1
6x = -3 + 1

Combine like terms: -3 + 1 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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