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

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


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

Reorder the terms:
5(3 + 2a) = 3(2a + 1)
(3 * 5 + 2a * 5) = 3(2a + 1)
(15 + 10a) = 3(2a + 1)

Reorder the terms:
15 + 10a = 3(1 + 2a)
15 + 10a = (1 * 3 + 2a * 3)
15 + 10a = (3 + 6a)

Solving
15 + 10a = 3 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
15 + 10a + -6a = 3 + 6a + -6a

Combine like terms: 10a + -6a = 4a
15 + 4a = 3 + 6a + -6a

Combine like terms: 6a + -6a = 0
15 + 4a = 3 + 0
15 + 4a = 3

Add '-15' to each side of the equation.
15 + -15 + 4a = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 4a = 3 + -15
4a = 3 + -15

Combine like terms: 3 + -15 = -12
4a = -12

Divide each side by '4'.
a = -3

Simplifying
a = -3

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