2a-1=3(a+1)

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

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

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

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

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

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

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

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

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

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

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

Simplifying
a = -4