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

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


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

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

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

Solving
12 + 2x = 60 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 2x + -5x = 60 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
12 + -3x = 60 + 0
12 + -3x = 60

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

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

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

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

Simplifying
x = -16

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