2(a+5)=20-3a

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Solution for 2(a+5)=20-3a equation:


Simplifying
2(a + 5) = 20 + -3a

Reorder the terms:
2(5 + a) = 20 + -3a
(5 * 2 + a * 2) = 20 + -3a
(10 + 2a) = 20 + -3a

Solving
10 + 2a = 20 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
10 + 2a + 3a = 20 + -3a + 3a

Combine like terms: 2a + 3a = 5a
10 + 5a = 20 + -3a + 3a

Combine like terms: -3a + 3a = 0
10 + 5a = 20 + 0
10 + 5a = 20

Add '-10' to each side of the equation.
10 + -10 + 5a = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 5a = 20 + -10
5a = 20 + -10

Combine like terms: 20 + -10 = 10
5a = 10

Divide each side by '5'.
a = 2

Simplifying
a = 2

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