4(x-3)+3x=3-12(x+6)

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Solution for 4(x-3)+3x=3-12(x+6) equation:


Simplifying
4(x + -3) + 3x = 3 + -12(x + 6)

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

Combine like terms: 4x + 3x = 7x
-12 + 7x = 3 + -12(x + 6)

Reorder the terms:
-12 + 7x = 3 + -12(6 + x)
-12 + 7x = 3 + (6 * -12 + x * -12)
-12 + 7x = 3 + (-72 + -12x)

Combine like terms: 3 + -72 = -69
-12 + 7x = -69 + -12x

Solving
-12 + 7x = -69 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-12 + 7x + 12x = -69 + -12x + 12x

Combine like terms: 7x + 12x = 19x
-12 + 19x = -69 + -12x + 12x

Combine like terms: -12x + 12x = 0
-12 + 19x = -69 + 0
-12 + 19x = -69

Add '12' to each side of the equation.
-12 + 12 + 19x = -69 + 12

Combine like terms: -12 + 12 = 0
0 + 19x = -69 + 12
19x = -69 + 12

Combine like terms: -69 + 12 = -57
19x = -57

Divide each side by '19'.
x = -3

Simplifying
x = -3

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