5(x+12)=2(x+6)

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Solution for 5(x+12)=2(x+6) equation:


Simplifying
5(x + 12) = 2(x + 6)

Reorder the terms:
5(12 + x) = 2(x + 6)
(12 * 5 + x * 5) = 2(x + 6)
(60 + 5x) = 2(x + 6)

Reorder the terms:
60 + 5x = 2(6 + x)
60 + 5x = (6 * 2 + x * 2)
60 + 5x = (12 + 2x)

Solving
60 + 5x = 12 + 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.
60 + 5x + -2x = 12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
60 + 3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + 3x = 12 + 0
60 + 3x = 12

Add '-60' to each side of the equation.
60 + -60 + 3x = 12 + -60

Combine like terms: 60 + -60 = 0
0 + 3x = 12 + -60
3x = 12 + -60

Combine like terms: 12 + -60 = -48
3x = -48

Divide each side by '3'.
x = -16

Simplifying
x = -16

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