5a+11=3(a+5)

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Solution for 5a+11=3(a+5) equation: 


Simplifying
5a + 11 = 3(a + 5)

Reorder the terms:
11 + 5a = 3(a + 5)

Reorder the terms:
11 + 5a = 3(5 + a)
11 + 5a = (5 * 3 + a * 3)
11 + 5a = (15 + 3a)

Solving
11 + 5a = 15 + 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.
11 + 5a + -3a = 15 + 3a + -3a

Combine like terms: 5a + -3a = 2a
11 + 2a = 15 + 3a + -3a

Combine like terms: 3a + -3a = 0
11 + 2a = 15 + 0
11 + 2a = 15

Add '-11' to each side of the equation.
11 + -11 + 2a = 15 + -11

Combine like terms: 11 + -11 = 0
0 + 2a = 15 + -11
2a = 15 + -11

Combine like terms: 15 + -11 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2

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