a+3=2(a-1)

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

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

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

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

Solving
3 + a = -2 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
3 + a + -2a = -2 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
3 + -1a = -2 + 0
3 + -1a = -2

Add '-3' to each side of the equation.
3 + -3 + -1a = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = -2 + -3
-1a = -2 + -3

Combine like terms: -2 + -3 = -5
-1a = -5

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

Simplifying
a = 5