12(x-6)=2(x-9)

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Solution for 12(x-6)=2(x-9) equation:


Simplifying
12(x + -6) = 2(x + -9)

Reorder the terms:
12(-6 + x) = 2(x + -9)
(-6 * 12 + x * 12) = 2(x + -9)
(-72 + 12x) = 2(x + -9)

Reorder the terms:
-72 + 12x = 2(-9 + x)
-72 + 12x = (-9 * 2 + x * 2)
-72 + 12x = (-18 + 2x)

Solving
-72 + 12x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-72 + 12x + -2x = -18 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-72 + 10x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-72 + 10x = -18 + 0
-72 + 10x = -18

Add '72' to each side of the equation.
-72 + 72 + 10x = -18 + 72

Combine like terms: -72 + 72 = 0
0 + 10x = -18 + 72
10x = -18 + 72

Combine like terms: -18 + 72 = 54
10x = 54

Divide each side by '10'.
x = 5.4

Simplifying
x = 5.4

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