12(x-3)=-3(x+13)

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Solution for 12(x-3)=-3(x+13) equation:


Simplifying
12(x + -3) = -3(x + 13)

Reorder the terms:
12(-3 + x) = -3(x + 13)
(-3 * 12 + x * 12) = -3(x + 13)
(-36 + 12x) = -3(x + 13)

Reorder the terms:
-36 + 12x = -3(13 + x)
-36 + 12x = (13 * -3 + x * -3)
-36 + 12x = (-39 + -3x)

Solving
-36 + 12x = -39 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-36 + 12x + 3x = -39 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-36 + 15x = -39 + -3x + 3x

Combine like terms: -3x + 3x = 0
-36 + 15x = -39 + 0
-36 + 15x = -39

Add '36' to each side of the equation.
-36 + 36 + 15x = -39 + 36

Combine like terms: -36 + 36 = 0
0 + 15x = -39 + 36
15x = -39 + 36

Combine like terms: -39 + 36 = -3
15x = -3

Divide each side by '15'.
x = -0.2

Simplifying
x = -0.2

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