4a+1=3(a+1)

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

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

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

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

Solving
1 + 4a = 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 + 4a + -3a = 3 + 3a + -3a

Combine like terms: 4a + -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 = 2
1a = 2

Divide each side by '1'.
a = 2

Simplifying
a = 2