3(4x+8)=6(3x-4)

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Solution for 3(4x+8)=6(3x-4) equation:


Simplifying
3(4x + 8) = 6(3x + -4)

Reorder the terms:
3(8 + 4x) = 6(3x + -4)
(8 * 3 + 4x * 3) = 6(3x + -4)
(24 + 12x) = 6(3x + -4)

Reorder the terms:
24 + 12x = 6(-4 + 3x)
24 + 12x = (-4 * 6 + 3x * 6)
24 + 12x = (-24 + 18x)

Solving
24 + 12x = -24 + 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.
24 + 12x + -18x = -24 + 18x + -18x

Combine like terms: 12x + -18x = -6x
24 + -6x = -24 + 18x + -18x

Combine like terms: 18x + -18x = 0
24 + -6x = -24 + 0
24 + -6x = -24

Add '-24' to each side of the equation.
24 + -24 + -6x = -24 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = -24 + -24
-6x = -24 + -24

Combine like terms: -24 + -24 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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