2x+9=3x-20

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Solution for 2x+9=3x-20 equation:


Simplifying
2x + 9 = 3x + -20

Reorder the terms:
9 + 2x = 3x + -20

Reorder the terms:
9 + 2x = -20 + 3x

Solving
9 + 2x = -20 + 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.
9 + 2x + -3x = -20 + 3x + -3x

Combine like terms: 2x + -3x = -1x
9 + -1x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -1x = -20 + 0
9 + -1x = -20

Add '-9' to each side of the equation.
9 + -9 + -1x = -20 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -20 + -9
-1x = -20 + -9

Combine like terms: -20 + -9 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

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