2(5a-1)+a=10-a

Solution for 2(5a-1)+a=10-a equation:

Simplifying
2(5a + -1) + a = 10 + -1a

Reorder the terms:
2(-1 + 5a) + a = 10 + -1a
(-1 * 2 + 5a * 2) + a = 10 + -1a
(-2 + 10a) + a = 10 + -1a

Combine like terms: 10a + a = 11a
-2 + 11a = 10 + -1a

Solving
-2 + 11a = 10 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-2 + 11a + a = 10 + -1a + a

Combine like terms: 11a + a = 12a
-2 + 12a = 10 + -1a + a

Combine like terms: -1a + a = 0
-2 + 12a = 10 + 0
-2 + 12a = 10

Add '2' to each side of the equation.
-2 + 2 + 12a = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 12a = 10 + 2
12a = 10 + 2

Combine like terms: 10 + 2 = 12
12a = 12

Divide each side by '12'.
a = 1

Simplifying
a = 1