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

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


Simplifying
-4(3 + -2x) = 6(3x + 3)
(3 * -4 + -2x * -4) = 6(3x + 3)
(-12 + 8x) = 6(3x + 3)

Reorder the terms:
-12 + 8x = 6(3 + 3x)
-12 + 8x = (3 * 6 + 3x * 6)
-12 + 8x = (18 + 18x)

Solving
-12 + 8x = 18 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-12 + 8x + -18x = 18 + 18x + -18x

Combine like terms: 8x + -18x = -10x
-12 + -10x = 18 + 18x + -18x

Combine like terms: 18x + -18x = 0
-12 + -10x = 18 + 0
-12 + -10x = 18

Add '12' to each side of the equation.
-12 + 12 + -10x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + -10x = 18 + 12
-10x = 18 + 12

Combine like terms: 18 + 12 = 30
-10x = 30

Divide each side by '-10'.
x = -3

Simplifying
x = -3

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