3-3x+4x-6=5x+1-x

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Solution for 3-3x+4x-6=5x+1-x equation:


Simplifying
3 + -3x + 4x + -6 = 5x + 1 + -1x

Reorder the terms:
3 + -6 + -3x + 4x = 5x + 1 + -1x

Combine like terms: 3 + -6 = -3
-3 + -3x + 4x = 5x + 1 + -1x

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

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

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

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

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

Combine like terms: 4x + -4x = 0
-3 + -3x = 1 + 0
-3 + -3x = 1

Add '3' to each side of the equation.
-3 + 3 + -3x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = 1 + 3
-3x = 1 + 3

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

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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