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

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


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

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

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

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

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

Solving
-1 + 3x = -5 + 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 + 3x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-1 + -1x = -5 + 0
-1 + -1x = -5

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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