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

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


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

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

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

Solving
10 + 15a = 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.
10 + 15a + -6a = 3 + 6a + -6a

Combine like terms: 15a + -6a = 9a
10 + 9a = 3 + 6a + -6a

Combine like terms: 6a + -6a = 0
10 + 9a = 3 + 0
10 + 9a = 3

Add '-10' to each side of the equation.
10 + -10 + 9a = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 9a = 3 + -10
9a = 3 + -10

Combine like terms: 3 + -10 = -7
9a = -7

Divide each side by '9'.
a = -0.7777777778

Simplifying
a = -0.7777777778

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