8-2(a+1)=-3a+1

Solution for 8-2(a+1)=-3a+1 equation:

Simplifying
8 + -2(a + 1) = -3a + 1

Reorder the terms:
8 + -2(1 + a) = -3a + 1
8 + (1 * -2 + a * -2) = -3a + 1
8 + (-2 + -2a) = -3a + 1

Combine like terms: 8 + -2 = 6
6 + -2a = -3a + 1

Reorder the terms:
6 + -2a = 1 + -3a

Solving
6 + -2a = 1 + -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.
6 + -2a + 3a = 1 + -3a + 3a

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

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

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

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

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

Divide each side by '1'.
a = -5

Simplifying
a = -5