12x-13=9(x+2)

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Solution for 12x-13=9(x+2) equation:


Simplifying
12x + -13 = 9(x + 2)

Reorder the terms:
-13 + 12x = 9(x + 2)

Reorder the terms:
-13 + 12x = 9(2 + x)
-13 + 12x = (2 * 9 + x * 9)
-13 + 12x = (18 + 9x)

Solving
-13 + 12x = 18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-13 + 12x + -9x = 18 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-13 + 3x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-13 + 3x = 18 + 0
-13 + 3x = 18

Add '13' to each side of the equation.
-13 + 13 + 3x = 18 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 18 + 13
3x = 18 + 13

Combine like terms: 18 + 13 = 31
3x = 31

Divide each side by '3'.
x = 10.33333333

Simplifying
x = 10.33333333

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