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

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


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

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

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

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

Combine like terms: 3x + 5x = 8x
-1 + 2x = -5 + 8x

Solving
-1 + 2x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 2x + -8x = -5 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-1 + -6x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -6x = -5 + 0
-1 + -6x = -5

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

Combine like terms: -1 + 1 = 0
0 + -6x = -5 + 1
-6x = -5 + 1

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

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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