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

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

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

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

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

Remove parenthesis around (1 + a)
2 + 10a = 1 + a

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

Combine like terms: 10a + -1a = 9a
2 + 9a = 1 + a + -1a

Combine like terms: a + -1a = 0
2 + 9a = 1 + 0
2 + 9a = 1

Add '-2' to each side of the equation.
2 + -2 + 9a = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 9a = 1 + -2
9a = 1 + -2

Combine like terms: 1 + -2 = -1
9a = -1

Divide each side by '9'.
a = -0.1111111111

Simplifying
a = -0.1111111111