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

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

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

Reorder the terms:
2(2 + a) = 3(a + 1)
(2 * 2 + a * 2) = 3(a + 1)
(4 + 2a) = 3(a + 1)

Reorder the terms:
4 + 2a = 3(1 + a)
4 + 2a = (1 * 3 + a * 3)
4 + 2a = (3 + 3a)

Solving
4 + 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.
4 + 2a + -3a = 3 + 3a + -3a

Combine like terms: 2a + -3a = -1a
4 + -1a = 3 + 3a + -3a

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 3 + -4

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

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

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

Simplifying
a = 1