5x-1=2x-3-x-6

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Solution for 5x-1=2x-3-x-6 equation:


Simplifying
5x + -1 = 2x + -3 + -1x + -6

Reorder the terms:
-1 + 5x = 2x + -3 + -1x + -6

Reorder the terms:
-1 + 5x = -3 + -6 + 2x + -1x

Combine like terms: -3 + -6 = -9
-1 + 5x = -9 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-1 + 5x = -9 + 1x

Solving
-1 + 5x = -9 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 5x + -1x = -9 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-1 + 4x = -9 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + 4x = -9 + 0
-1 + 4x = -9

Add '1' to each side of the equation.
-1 + 1 + 4x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = -9 + 1
4x = -9 + 1

Combine like terms: -9 + 1 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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