3(a+5)=2(4a+1)

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Solution for 3(a+5)=2(4a+1) equation: 


Simplifying
3(a + 5) = 2(4a + 1)

Reorder the terms:
3(5 + a) = 2(4a + 1)
(5 * 3 + a * 3) = 2(4a + 1)
(15 + 3a) = 2(4a + 1)

Reorder the terms:
15 + 3a = 2(1 + 4a)
15 + 3a = (1 * 2 + 4a * 2)
15 + 3a = (2 + 8a)

Solving
15 + 3a = 2 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
15 + 3a + -8a = 2 + 8a + -8a

Combine like terms: 3a + -8a = -5a
15 + -5a = 2 + 8a + -8a

Combine like terms: 8a + -8a = 0
15 + -5a = 2 + 0
15 + -5a = 2

Add '-15' to each side of the equation.
15 + -15 + -5a = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -5a = 2 + -15
-5a = 2 + -15

Combine like terms: 2 + -15 = -13
-5a = -13

Divide each side by '-5'.
a = 2.6

Simplifying
a = 2.6

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