3x-9=-4x+12

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Solution for 3x-9=-4x+12 equation: 


Simplifying
3x + -9 = -4x + 12

Reorder the terms:
-9 + 3x = -4x + 12

Reorder the terms:
-9 + 3x = 12 + -4x

Solving
-9 + 3x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + 3x + 4x = 12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-9 + 7x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 7x = 12 + 0
-9 + 7x = 12

Add '9' to each side of the equation.
-9 + 9 + 7x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 12 + 9
7x = 12 + 9

Combine like terms: 12 + 9 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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