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

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


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

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

Multiply 3 * 5
15(-2 + 3x) = 6(3x + 5)
(-2 * 15 + 3x * 15) = 6(3x + 5)
(-30 + 45x) = 6(3x + 5)

Reorder the terms:
-30 + 45x = 6(5 + 3x)
-30 + 45x = (5 * 6 + 3x * 6)
-30 + 45x = (30 + 18x)

Solving
-30 + 45x = 30 + 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.
-30 + 45x + -18x = 30 + 18x + -18x

Combine like terms: 45x + -18x = 27x
-30 + 27x = 30 + 18x + -18x

Combine like terms: 18x + -18x = 0
-30 + 27x = 30 + 0
-30 + 27x = 30

Add '30' to each side of the equation.
-30 + 30 + 27x = 30 + 30

Combine like terms: -30 + 30 = 0
0 + 27x = 30 + 30
27x = 30 + 30

Combine like terms: 30 + 30 = 60
27x = 60

Divide each side by '27'.
x = 2.222222222

Simplifying
x = 2.222222222

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