3x+5-2x=9+2x-7

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Solution for 3x+5-2x=9+2x-7 equation:


Simplifying
3x + 5 + -2x = 9 + 2x + -7

Reorder the terms:
5 + 3x + -2x = 9 + 2x + -7

Combine like terms: 3x + -2x = 1x
5 + 1x = 9 + 2x + -7

Reorder the terms:
5 + 1x = 9 + -7 + 2x

Combine like terms: 9 + -7 = 2
5 + 1x = 2 + 2x

Solving
5 + 1x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + 1x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + -1x = 2 + 0
5 + -1x = 2

Add '-5' to each side of the equation.
5 + -5 + -1x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 2 + -5
-1x = 2 + -5

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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