3(4x-2)=2(2x+9)

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Solution for 3(4x-2)=2(2x+9) equation:


Simplifying
3(4x + -2) = 2(2x + 9)

Reorder the terms:
3(-2 + 4x) = 2(2x + 9)
(-2 * 3 + 4x * 3) = 2(2x + 9)
(-6 + 12x) = 2(2x + 9)

Reorder the terms:
-6 + 12x = 2(9 + 2x)
-6 + 12x = (9 * 2 + 2x * 2)
-6 + 12x = (18 + 4x)

Solving
-6 + 12x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 12x + -4x = 18 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-6 + 8x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 8x = 18 + 0
-6 + 8x = 18

Add '6' to each side of the equation.
-6 + 6 + 8x = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 18 + 6
8x = 18 + 6

Combine like terms: 18 + 6 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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