4a-1=2a+(a+6)

Solution for 4a-1=2a+(a+6) equation:

Simplifying
4a + -1 = 2a + (a + 6)

Reorder the terms:
-1 + 4a = 2a + (a + 6)

Reorder the terms:
-1 + 4a = 2a + (6 + a)

Remove parenthesis around (6 + a)
-1 + 4a = 2a + 6 + a

Reorder the terms:
-1 + 4a = 6 + 2a + a

Combine like terms: 2a + a = 3a
-1 + 4a = 6 + 3a

Solving
-1 + 4a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-1 + 4a + -3a = 6 + 3a + -3a

Combine like terms: 4a + -3a = 1a
-1 + 1a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-1 + 1a = 6 + 0
-1 + 1a = 6

Add '1' to each side of the equation.
-1 + 1 + 1a = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 1a = 6 + 1
1a = 6 + 1

Combine like terms: 6 + 1 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7