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

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


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

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

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

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

Combine like terms: 2x + 4x = 6x
-1 + 5x = -4 + 6x

Solving
-1 + 5x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 5x + -6x = -4 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-1 + -1x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + -1x = -4 + 0
-1 + -1x = -4

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

Combine like terms: -1 + 1 = 0
0 + -1x = -4 + 1
-1x = -4 + 1

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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