2(4a-1)=a+5

Solution for 2(4a-1)=a+5 equation:

Simplifying
2(4a + -1) = a + 5

Reorder the terms:
2(-1 + 4a) = a + 5
(-1 * 2 + 4a * 2) = a + 5
(-2 + 8a) = a + 5

Reorder the terms:
-2 + 8a = 5 + a

Solving
-2 + 8a = 5 + 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 + 8a + -1a = 5 + a + -1a

Combine like terms: 8a + -1a = 7a
-2 + 7a = 5 + a + -1a

Combine like terms: a + -1a = 0
-2 + 7a = 5 + 0
-2 + 7a = 5

Add '2' to each side of the equation.
-2 + 2 + 7a = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 7a = 5 + 2
7a = 5 + 2

Combine like terms: 5 + 2 = 7
7a = 7

Divide each side by '7'.
a = 1

Simplifying
a = 1