3(x+12)=24-5x

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Solution for 3(x+12)=24-5x equation:


Simplifying
3(x + 12) = 24 + -5x

Reorder the terms:
3(12 + x) = 24 + -5x
(12 * 3 + x * 3) = 24 + -5x
(36 + 3x) = 24 + -5x

Solving
36 + 3x = 24 + -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.
36 + 3x + 5x = 24 + -5x + 5x

Combine like terms: 3x + 5x = 8x
36 + 8x = 24 + -5x + 5x

Combine like terms: -5x + 5x = 0
36 + 8x = 24 + 0
36 + 8x = 24

Add '-36' to each side of the equation.
36 + -36 + 8x = 24 + -36

Combine like terms: 36 + -36 = 0
0 + 8x = 24 + -36
8x = 24 + -36

Combine like terms: 24 + -36 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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