2x+6=5x-x

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Solution for 2x+6=5x-x equation:


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

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

Combine like terms: 5x + -1x = 4x
6 + 2x = 4x

Solving
6 + 2x = 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.
6 + 2x + -4x = 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + -2x = 0

Add '-6' to each side of the equation.
6 + -6 + -2x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 0 + -6
-2x = 0 + -6

Combine like terms: 0 + -6 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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