10(x+6)=18(x-2)

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Solution for 10(x+6)=18(x-2) equation:


Simplifying
10(x + 6) = 18(x + -2)

Reorder the terms:
10(6 + x) = 18(x + -2)
(6 * 10 + x * 10) = 18(x + -2)
(60 + 10x) = 18(x + -2)

Reorder the terms:
60 + 10x = 18(-2 + x)
60 + 10x = (-2 * 18 + x * 18)
60 + 10x = (-36 + 18x)

Solving
60 + 10x = -36 + 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.
60 + 10x + -18x = -36 + 18x + -18x

Combine like terms: 10x + -18x = -8x
60 + -8x = -36 + 18x + -18x

Combine like terms: 18x + -18x = 0
60 + -8x = -36 + 0
60 + -8x = -36

Add '-60' to each side of the equation.
60 + -60 + -8x = -36 + -60

Combine like terms: 60 + -60 = 0
0 + -8x = -36 + -60
-8x = -36 + -60

Combine like terms: -36 + -60 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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