3x+6-x=7+3x-5

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Solution for 3x+6-x=7+3x-5 equation:


Simplifying
3x + 6 + -1x = 7 + 3x + -5

Reorder the terms:
6 + 3x + -1x = 7 + 3x + -5

Combine like terms: 3x + -1x = 2x
6 + 2x = 7 + 3x + -5

Reorder the terms:
6 + 2x = 7 + -5 + 3x

Combine like terms: 7 + -5 = 2
6 + 2x = 2 + 3x

Solving
6 + 2x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 2x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + -1x = 2 + 0
6 + -1x = 2

Add '-6' to each side of the equation.
6 + -6 + -1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 2 + -6
-1x = 2 + -6

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

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

Simplifying
x = 4

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