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

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


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

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

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

Solving
-6 + 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.
-6 + 12x + -18x = 24 + 18x + -18x

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

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

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

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

Combine like terms: 24 + 6 = 30
-6x = 30

Divide each side by '-6'.
x = -5

Simplifying
x = -5

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