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

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


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

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

Reorder the terms:
-6 + 9x = 6(4 + 5x)
-6 + 9x = (4 * 6 + 5x * 6)
-6 + 9x = (24 + 30x)

Solving
-6 + 9x = 24 + 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 + 9x + -30x = 24 + 30x + -30x

Combine like terms: 9x + -30x = -21x
-6 + -21x = 24 + 30x + -30x

Combine like terms: 30x + -30x = 0
-6 + -21x = 24 + 0
-6 + -21x = 24

Add '6' to each side of the equation.
-6 + 6 + -21x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -21x = 24 + 6
-21x = 24 + 6

Combine like terms: 24 + 6 = 30
-21x = 30

Divide each side by '-21'.
x = -1.428571429

Simplifying
x = -1.428571429

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