(6a+10)=(3a+55)

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Solution for (6a+10)=(3a+55) equation: 


Simplifying
(6a + 10) = (3a + 55)

Reorder the terms:
(10 + 6a) = (3a + 55)

Remove parenthesis around (10 + 6a)
10 + 6a = (3a + 55)

Reorder the terms:
10 + 6a = (55 + 3a)

Remove parenthesis around (55 + 3a)
10 + 6a = 55 + 3a

Solving
10 + 6a = 55 + 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 + 6a + -3a = 55 + 3a + -3a

Combine like terms: 6a + -3a = 3a
10 + 3a = 55 + 3a + -3a

Combine like terms: 3a + -3a = 0
10 + 3a = 55 + 0
10 + 3a = 55

Add '-10' to each side of the equation.
10 + -10 + 3a = 55 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = 55 + -10
3a = 55 + -10

Combine like terms: 55 + -10 = 45
3a = 45

Divide each side by '3'.
a = 15

Simplifying
a = 15

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