12(x-7)=6x-9

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Solution for 12(x-7)=6x-9 equation:


Simplifying
12(x + -7) = 6x + -9

Reorder the terms:
12(-7 + x) = 6x + -9
(-7 * 12 + x * 12) = 6x + -9
(-84 + 12x) = 6x + -9

Reorder the terms:
-84 + 12x = -9 + 6x

Solving
-84 + 12x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-84 + 12x + -6x = -9 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-84 + 6x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-84 + 6x = -9 + 0
-84 + 6x = -9

Add '84' to each side of the equation.
-84 + 84 + 6x = -9 + 84

Combine like terms: -84 + 84 = 0
0 + 6x = -9 + 84
6x = -9 + 84

Combine like terms: -9 + 84 = 75
6x = 75

Divide each side by '6'.
x = 12.5

Simplifying
x = 12.5

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