4-3(a-1)=3+a

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

Simplifying
4 + -3(a + -1) = 3 + a

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

Combine like terms: 4 + 3 = 7
7 + -3a = 3 + a

Solving
7 + -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.
7 + -3a + -1a = 3 + a + -1a

Combine like terms: -3a + -1a = -4a
7 + -4a = 3 + a + -1a

Combine like terms: a + -1a = 0
7 + -4a = 3 + 0
7 + -4a = 3

Add '-7' to each side of the equation.
7 + -7 + -4a = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -4a = 3 + -7
-4a = 3 + -7

Combine like terms: 3 + -7 = -4
-4a = -4

Divide each side by '-4'.
a = 1

Simplifying
a = 1