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

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


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

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

Reorder the terms:
-1 + 2x = 5(-3 + x) + -1x
-1 + 2x = (-3 * 5 + x * 5) + -1x
-1 + 2x = (-15 + 5x) + -1x

Combine like terms: 5x + -1x = 4x
-1 + 2x = -15 + 4x

Solving
-1 + 2x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 2x + -4x = -15 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-1 + -2x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -2x = -15 + 0
-1 + -2x = -15

Add '1' to each side of the equation.
-1 + 1 + -2x = -15 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = -15 + 1
-2x = -15 + 1

Combine like terms: -15 + 1 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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