3x-9=2x-7

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


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

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

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

Solving
-9 + 3x = -7 + 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.
-9 + 3x + -2x = -7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-9 + 1x = -7 + 0
-9 + 1x = -7

Add '9' to each side of the equation.
-9 + 9 + 1x = -7 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -7 + 9
1x = -7 + 9

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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