(4a-8)+(3a+14)=(5a-1)

Solution for (4a-8)+(3a+14)=(5a-1) equation:

Simplifying
(4a + -8) + (3a + 14) = (5a + -1)

Reorder the terms:
(-8 + 4a) + (3a + 14) = (5a + -1)

Remove parenthesis around (-8 + 4a)
-8 + 4a + (3a + 14) = (5a + -1)

Reorder the terms:
-8 + 4a + (14 + 3a) = (5a + -1)

Remove parenthesis around (14 + 3a)
-8 + 4a + 14 + 3a = (5a + -1)

Reorder the terms:
-8 + 14 + 4a + 3a = (5a + -1)

Combine like terms: -8 + 14 = 6
6 + 4a + 3a = (5a + -1)

Combine like terms: 4a + 3a = 7a
6 + 7a = (5a + -1)

Reorder the terms:
6 + 7a = (-1 + 5a)

Remove parenthesis around (-1 + 5a)
6 + 7a = -1 + 5a

Solving
6 + 7a = -1 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + 7a + -5a = -1 + 5a + -5a

Combine like terms: 7a + -5a = 2a
6 + 2a = -1 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + 2a = -1 + 0
6 + 2a = -1

Add '-6' to each side of the equation.
6 + -6 + 2a = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = -1 + -6
2a = -1 + -6

Combine like terms: -1 + -6 = -7
2a = -7

Divide each side by '2'.
a = -3.5

Simplifying
a = -3.5