6x-9=4x+12

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Solution for 6x-9=4x+12 equation:


Simplifying
6x + -9 = 4x + 12

Reorder the terms:
-9 + 6x = 4x + 12

Reorder the terms:
-9 + 6x = 12 + 4x

Solving
-9 + 6x = 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 + 6x + -4x = 12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = 12 + 0
-9 + 2x = 12

Add '9' to each side of the equation.
-9 + 9 + 2x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 12 + 9
2x = 12 + 9

Combine like terms: 12 + 9 = 21
2x = 21

Divide each side by '2'.
x = 10.5

Simplifying
x = 10.5

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