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

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


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

Reorder the terms:
3(5 + 2a) = 5(a + 2)
(5 * 3 + 2a * 3) = 5(a + 2)
(15 + 6a) = 5(a + 2)

Reorder the terms:
15 + 6a = 5(2 + a)
15 + 6a = (2 * 5 + a * 5)
15 + 6a = (10 + 5a)

Solving
15 + 6a = 10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
15 + 6a + -5a = 10 + 5a + -5a

Combine like terms: 6a + -5a = 1a
15 + 1a = 10 + 5a + -5a

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

Add '-15' to each side of the equation.
15 + -15 + 1a = 10 + -15

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

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

Divide each side by '1'.
a = -5

Simplifying
a = -5

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