13-3(a-1)=3+a

Solution for 13-3(a-1)=3+a equation:

Simplifying
13 + -3(a + -1) = 3 + a

Reorder the terms:
13 + -3(-1 + a) = 3 + a
13 + (-1 * -3 + a * -3) = 3 + a
13 + (3 + -3a) = 3 + a

Combine like terms: 13 + 3 = 16
16 + -3a = 3 + a

Solving
16 + -3a = 3 + 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.
16 + -3a + -1a = 3 + a + -1a

Combine like terms: -3a + -1a = -4a
16 + -4a = 3 + a + -1a

Combine like terms: a + -1a = 0
16 + -4a = 3 + 0
16 + -4a = 3

Add '-16' to each side of the equation.
16 + -16 + -4a = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -4a = 3 + -16
-4a = 3 + -16

Combine like terms: 3 + -16 = -13
-4a = -13

Divide each side by '-4'.
a = 3.25

Simplifying
a = 3.25