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

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


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

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

Reorder the terms:
12 + 3x = -5(3 + x)
12 + 3x = (3 * -5 + x * -5)
12 + 3x = (-15 + -5x)

Solving
12 + 3x = -15 + -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 = -15 + -5x + 5x

Combine like terms: 3x + 5x = 8x
12 + 8x = -15 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 8x = -15 + 0
12 + 8x = -15

Add '-12' to each side of the equation.
12 + -12 + 8x = -15 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = -15 + -12
8x = -15 + -12

Combine like terms: -15 + -12 = -27
8x = -27

Divide each side by '8'.
x = -3.375

Simplifying
x = -3.375

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