3(3a+5)=5(2a-1)

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Solution for 3(3a+5)=5(2a-1) equation: 


Simplifying
3(3a + 5) = 5(2a + -1)

Reorder the terms:
3(5 + 3a) = 5(2a + -1)
(5 * 3 + 3a * 3) = 5(2a + -1)
(15 + 9a) = 5(2a + -1)

Reorder the terms:
15 + 9a = 5(-1 + 2a)
15 + 9a = (-1 * 5 + 2a * 5)
15 + 9a = (-5 + 10a)

Solving
15 + 9a = -5 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
15 + 9a + -10a = -5 + 10a + -10a

Combine like terms: 9a + -10a = -1a
15 + -1a = -5 + 10a + -10a

Combine like terms: 10a + -10a = 0
15 + -1a = -5 + 0
15 + -1a = -5

Add '-15' to each side of the equation.
15 + -15 + -1a = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -1a = -5 + -15
-1a = -5 + -15

Combine like terms: -5 + -15 = -20
-1a = -20

Divide each side by '-1'.
a = 20

Simplifying
a = 20

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