7a-6+3(a+1)=(4a-5)

Solution for 7a-6+3(a+1)=(4a-5) equation:

Simplifying
7a + -6 + 3(a + 1) = (4a + -5)

Reorder the terms:
7a + -6 + 3(1 + a) = (4a + -5)
7a + -6 + (1 * 3 + a * 3) = (4a + -5)
7a + -6 + (3 + 3a) = (4a + -5)

Reorder the terms:
-6 + 3 + 7a + 3a = (4a + -5)

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

Combine like terms: 7a + 3a = 10a
-3 + 10a = (4a + -5)

Reorder the terms:
-3 + 10a = (-5 + 4a)

Remove parenthesis around (-5 + 4a)
-3 + 10a = -5 + 4a

Solving
-3 + 10a = -5 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-3 + 10a + -4a = -5 + 4a + -4a

Combine like terms: 10a + -4a = 6a
-3 + 6a = -5 + 4a + -4a

Combine like terms: 4a + -4a = 0
-3 + 6a = -5 + 0
-3 + 6a = -5

Add '3' to each side of the equation.
-3 + 3 + 6a = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 6a = -5 + 3
6a = -5 + 3

Combine like terms: -5 + 3 = -2
6a = -2

Divide each side by '6'.
a = -0.3333333333

Simplifying
a = -0.3333333333