3(x+8)2=-3(x-12)

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Solution for 3(x+8)2=-3(x-12) equation:


Simplifying
3(x + 8) * 2 = -3(x + -12)

Reorder the terms:
3(8 + x) * 2 = -3(x + -12)

Reorder the terms for easier multiplication:
3 * 2(8 + x) = -3(x + -12)

Multiply 3 * 2
6(8 + x) = -3(x + -12)
(8 * 6 + x * 6) = -3(x + -12)
(48 + 6x) = -3(x + -12)

Reorder the terms:
48 + 6x = -3(-12 + x)
48 + 6x = (-12 * -3 + x * -3)
48 + 6x = (36 + -3x)

Solving
48 + 6x = 36 + -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.
48 + 6x + 3x = 36 + -3x + 3x

Combine like terms: 6x + 3x = 9x
48 + 9x = 36 + -3x + 3x

Combine like terms: -3x + 3x = 0
48 + 9x = 36 + 0
48 + 9x = 36

Add '-48' to each side of the equation.
48 + -48 + 9x = 36 + -48

Combine like terms: 48 + -48 = 0
0 + 9x = 36 + -48
9x = 36 + -48

Combine like terms: 36 + -48 = -12
9x = -12

Divide each side by '9'.
x = -1.333333333

Simplifying
x = -1.333333333

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