5a+a=6(7-5a)+6(-6+5a)

Solution for 5a+a=6(7-5a)+6(-6+5a) equation:

Simplifying
5a + a = 6(7 + -5a) + 6(-6 + 5a)

Combine like terms: 5a + a = 6a
6a = 6(7 + -5a) + 6(-6 + 5a)
6a = (7 * 6 + -5a * 6) + 6(-6 + 5a)
6a = (42 + -30a) + 6(-6 + 5a)
6a = 42 + -30a + (-6 * 6 + 5a * 6)
6a = 42 + -30a + (-36 + 30a)

Reorder the terms:
6a = 42 + -36 + -30a + 30a

Combine like terms: 42 + -36 = 6
6a = 6 + -30a + 30a

Combine like terms: -30a + 30a = 0
6a = 6 + 0
6a = 6

Solving
6a = 6

Solving for variable 'a'.

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

Divide each side by '6'.
a = 1

Simplifying
a = 1