2x+7=3x-2

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


Simplifying
2x + 7 = 3x + -2

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

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

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

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

Combine like terms: 3x + -3x = 0
7 + -1x = -2 + 0
7 + -1x = -2

Add '-7' to each side of the equation.
7 + -7 + -1x = -2 + -7

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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