-4(x-3)=2(3x+6)

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Solution for -4(x-3)=2(3x+6) equation:


Simplifying
-4(x + -3) = 2(3x + 6)

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

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

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

Combine like terms: 12 + -12 = 0
0 + -4x = 12 + -12 + 6x
-4x = 12 + -12 + 6x

Combine like terms: 12 + -12 = 0
-4x = 0 + 6x
-4x = 6x

Solving
-4x = 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.
-4x + -6x = 6x + -6x

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

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

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0

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