2*(3a+5)=2*(a+15)

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Solution for 2*(3a+5)=2*(a+15) equation:


Simplifying
2(3a + 5) = 2(a + 15)

Reorder the terms:
2(5 + 3a) = 2(a + 15)
(5 * 2 + 3a * 2) = 2(a + 15)
(10 + 6a) = 2(a + 15)

Reorder the terms:
10 + 6a = 2(15 + a)
10 + 6a = (15 * 2 + a * 2)
10 + 6a = (30 + 2a)

Solving
10 + 6a = 30 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
10 + 6a + -2a = 30 + 2a + -2a

Combine like terms: 6a + -2a = 4a
10 + 4a = 30 + 2a + -2a

Combine like terms: 2a + -2a = 0
10 + 4a = 30 + 0
10 + 4a = 30

Add '-10' to each side of the equation.
10 + -10 + 4a = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 4a = 30 + -10
4a = 30 + -10

Combine like terms: 30 + -10 = 20
4a = 20

Divide each side by '4'.
a = 5

Simplifying
a = 5

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