3(4x-2)=5(6x+9)

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Solution for 3(4x-2)=5(6x+9) equation:


Simplifying
3(4x + -2) = 5(6x + 9)

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

Reorder the terms:
-6 + 12x = 5(9 + 6x)
-6 + 12x = (9 * 5 + 6x * 5)
-6 + 12x = (45 + 30x)

Solving
-6 + 12x = 45 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-6 + 12x + -30x = 45 + 30x + -30x

Combine like terms: 12x + -30x = -18x
-6 + -18x = 45 + 30x + -30x

Combine like terms: 30x + -30x = 0
-6 + -18x = 45 + 0
-6 + -18x = 45

Add '6' to each side of the equation.
-6 + 6 + -18x = 45 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = 45 + 6
-18x = 45 + 6

Combine like terms: 45 + 6 = 51
-18x = 51

Divide each side by '-18'.
x = -2.833333333

Simplifying
x = -2.833333333

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