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

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

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

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

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

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

Combine like terms: 7a + 3a = 10a
-3 + 10a = -1(4a + -5)

Reorder the terms:
-3 + 10a = -1(-5 + 4a)
-3 + 10a = (-5 * -1 + 4a * -1)
-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 = 14a
-3 + 14a = 5 + -4a + 4a

Combine like terms: -4a + 4a = 0
-3 + 14a = 5 + 0
-3 + 14a = 5

Add '3' to each side of the equation.
-3 + 3 + 14a = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 14a = 5 + 3
14a = 5 + 3

Combine like terms: 5 + 3 = 8
14a = 8

Divide each side by '14'.
a = 0.5714285714

Simplifying
a = 0.5714285714