10-3(a-1)=5+a

Solution for 10-3(a-1)=5+a equation:

Simplifying
10 + -3(a + -1) = 5 + a

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

Combine like terms: 10 + 3 = 13
13 + -3a = 5 + a

Solving
13 + -3a = 5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
13 + -3a + -1a = 5 + a + -1a

Combine like terms: -3a + -1a = -4a
13 + -4a = 5 + a + -1a

Combine like terms: a + -1a = 0
13 + -4a = 5 + 0
13 + -4a = 5

Add '-13' to each side of the equation.
13 + -13 + -4a = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -4a = 5 + -13
-4a = 5 + -13

Combine like terms: 5 + -13 = -8
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2