3(x+4)=5(x-12)

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Solution for 3(x+4)=5(x-12) equation:


Simplifying
3(x + 4) = 5(x + -12)

Reorder the terms:
3(4 + x) = 5(x + -12)
(4 * 3 + x * 3) = 5(x + -12)
(12 + 3x) = 5(x + -12)

Reorder the terms:
12 + 3x = 5(-12 + x)
12 + 3x = (-12 * 5 + x * 5)
12 + 3x = (-60 + 5x)

Solving
12 + 3x = -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 + 3x + -5x = -60 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
12 + -2x = -60 + 0
12 + -2x = -60

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

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

Combine like terms: -60 + -12 = -72
-2x = -72

Divide each side by '-2'.
x = 36

Simplifying
x = 36

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