3(x+3)=5(1-x)-12

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Solution for 3(x+3)=5(1-x)-12 equation:


Simplifying
3(x + 3) = 5(1 + -1x) + -12

Reorder the terms:
3(3 + x) = 5(1 + -1x) + -12
(3 * 3 + x * 3) = 5(1 + -1x) + -12
(9 + 3x) = 5(1 + -1x) + -12
9 + 3x = (1 * 5 + -1x * 5) + -12
9 + 3x = (5 + -5x) + -12

Reorder the terms:
9 + 3x = 5 + -12 + -5x

Combine like terms: 5 + -12 = -7
9 + 3x = -7 + -5x

Solving
9 + 3x = -7 + -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.
9 + 3x + 5x = -7 + -5x + 5x

Combine like terms: 3x + 5x = 8x
9 + 8x = -7 + -5x + 5x

Combine like terms: -5x + 5x = 0
9 + 8x = -7 + 0
9 + 8x = -7

Add '-9' to each side of the equation.
9 + -9 + 8x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = -7 + -9
8x = -7 + -9

Combine like terms: -7 + -9 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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