3(4x-2)=2(5x+9)

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Solution for 3(4x-2)=2(5x+9) equation:


Simplifying
3(4x + -2) = 2(5x + 9)

Reorder the terms:
3(-2 + 4x) = 2(5x + 9)
(-2 * 3 + 4x * 3) = 2(5x + 9)
(-6 + 12x) = 2(5x + 9)

Reorder the terms:
-6 + 12x = 2(9 + 5x)
-6 + 12x = (9 * 2 + 5x * 2)
-6 + 12x = (18 + 10x)

Solving
-6 + 12x = 18 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + 12x + -10x = 18 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-6 + 2x = 18 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + 2x = 18 + 0
-6 + 2x = 18

Add '6' to each side of the equation.
-6 + 6 + 2x = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 18 + 6
2x = 18 + 6

Combine like terms: 18 + 6 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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