12(x-7)=2(x-9)

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Solution for 12(x-7)=2(x-9) equation:


Simplifying
12(x + -7) = 2(x + -9)

Reorder the terms:
12(-7 + x) = 2(x + -9)
(-7 * 12 + x * 12) = 2(x + -9)
(-84 + 12x) = 2(x + -9)

Reorder the terms:
-84 + 12x = 2(-9 + x)
-84 + 12x = (-9 * 2 + x * 2)
-84 + 12x = (-18 + 2x)

Solving
-84 + 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.
-84 + 12x + -2x = -18 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-84 + 10x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-84 + 10x = -18 + 0
-84 + 10x = -18

Add '84' to each side of the equation.
-84 + 84 + 10x = -18 + 84

Combine like terms: -84 + 84 = 0
0 + 10x = -18 + 84
10x = -18 + 84

Combine like terms: -18 + 84 = 66
10x = 66

Divide each side by '10'.
x = 6.6

Simplifying
x = 6.6

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