6x-3=5x+3-x

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


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

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

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

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

Solving
-3 + 6x = 3 + 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 + 6x + -4x = 3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-3 + 2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 2x = 3 + 0
-3 + 2x = 3

Add '3' to each side of the equation.
-3 + 3 + 2x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 3 + 3
2x = 3 + 3

Combine like terms: 3 + 3 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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