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

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Solution for 4(x+3)=3(3-2x)-12 equation: 


Simplifying
4(x + 3) = 3(3 + -2x) + -12

Reorder the terms:
4(3 + x) = 3(3 + -2x) + -12
(3 * 4 + x * 4) = 3(3 + -2x) + -12
(12 + 4x) = 3(3 + -2x) + -12
12 + 4x = (3 * 3 + -2x * 3) + -12
12 + 4x = (9 + -6x) + -12

Reorder the terms:
12 + 4x = 9 + -12 + -6x

Combine like terms: 9 + -12 = -3
12 + 4x = -3 + -6x

Solving
12 + 4x = -3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
12 + 4x + 6x = -3 + -6x + 6x

Combine like terms: 4x + 6x = 10x
12 + 10x = -3 + -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 10x = -3 + 0
12 + 10x = -3

Add '-12' to each side of the equation.
12 + -12 + 10x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = -3 + -12
10x = -3 + -12

Combine like terms: -3 + -12 = -15
10x = -15

Divide each side by '10'.
x = -1.5

Simplifying
x = -1.5

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