2(2a+5)=a+13

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Solution for 2(2a+5)=a+13 equation:


Simplifying
2(2a + 5) = a + 13

Reorder the terms:
2(5 + 2a) = a + 13
(5 * 2 + 2a * 2) = a + 13
(10 + 4a) = a + 13

Reorder the terms:
10 + 4a = 13 + a

Solving
10 + 4a = 13 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + 4a + -1a = 13 + a + -1a

Combine like terms: 4a + -1a = 3a
10 + 3a = 13 + a + -1a

Combine like terms: a + -1a = 0
10 + 3a = 13 + 0
10 + 3a = 13

Add '-10' to each side of the equation.
10 + -10 + 3a = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = 13 + -10
3a = 13 + -10

Combine like terms: 13 + -10 = 3
3a = 3

Divide each side by '3'.
a = 1

Simplifying
a = 1

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