5(a+b)=6+a

Solution for 5(a+b)=6+a equation:

Simplifying
5(a + b) = 6 + a
(a * 5 + b * 5) = 6 + a
(5a + 5b) = 6 + a

Solving
5a + 5b = 6 + 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.
5a + -1a + 5b = 6 + a + -1a

Combine like terms: 5a + -1a = 4a
4a + 5b = 6 + a + -1a

Combine like terms: a + -1a = 0
4a + 5b = 6 + 0
4a + 5b = 6

Add '-5b' to each side of the equation.
4a + 5b + -5b = 6 + -5b

Combine like terms: 5b + -5b = 0
4a + 0 = 6 + -5b
4a = 6 + -5b

Divide each side by '4'.
a = 1.5 + -1.25b

Simplifying
a = 1.5 + -1.25b