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

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


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

Reorder the terms:
0.12(-6 + x) = 2(x + -9)
(-6 * 0.12 + x * 0.12) = 2(x + -9)
(-0.72 + 0.12x) = 2(x + -9)

Reorder the terms:
-0.72 + 0.12x = 2(-9 + x)
-0.72 + 0.12x = (-9 * 2 + x * 2)
-0.72 + 0.12x = (-18 + 2x)

Solving
-0.72 + 0.12x = -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.
-0.72 + 0.12x + -2x = -18 + 2x + -2x

Combine like terms: 0.12x + -2x = -1.88x
-0.72 + -1.88x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-0.72 + -1.88x = -18 + 0
-0.72 + -1.88x = -18

Add '0.72' to each side of the equation.
-0.72 + 0.72 + -1.88x = -18 + 0.72

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + -1.88x = -18 + 0.72
-1.88x = -18 + 0.72

Combine like terms: -18 + 0.72 = -17.28
-1.88x = -17.28

Divide each side by '-1.88'.
x = 9.191489362

Simplifying
x = 9.191489362

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