12(6x-10)=18(x+3)

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Solution for 12(6x-10)=18(x+3) equation: 


Simplifying
12(6x + -10) = 18(x + 3)

Reorder the terms:
12(-10 + 6x) = 18(x + 3)
(-10 * 12 + 6x * 12) = 18(x + 3)
(-120 + 72x) = 18(x + 3)

Reorder the terms:
-120 + 72x = 18(3 + x)
-120 + 72x = (3 * 18 + x * 18)
-120 + 72x = (54 + 18x)

Solving
-120 + 72x = 54 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-120 + 72x + -18x = 54 + 18x + -18x

Combine like terms: 72x + -18x = 54x
-120 + 54x = 54 + 18x + -18x

Combine like terms: 18x + -18x = 0
-120 + 54x = 54 + 0
-120 + 54x = 54

Add '120' to each side of the equation.
-120 + 120 + 54x = 54 + 120

Combine like terms: -120 + 120 = 0
0 + 54x = 54 + 120
54x = 54 + 120

Combine like terms: 54 + 120 = 174
54x = 174

Divide each side by '54'.
x = 3.222222222

Simplifying
x = 3.222222222

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