3(a+2)=2(a+3)-7

Solution for 3(a+2)=2(a+3)-7 equation:

Simplifying
3(a + 2) = 2(a + 3) + -7

Reorder the terms:
3(2 + a) = 2(a + 3) + -7
(2 * 3 + a * 3) = 2(a + 3) + -7
(6 + 3a) = 2(a + 3) + -7

Reorder the terms:
6 + 3a = 2(3 + a) + -7
6 + 3a = (3 * 2 + a * 2) + -7
6 + 3a = (6 + 2a) + -7

Reorder the terms:
6 + 3a = 6 + -7 + 2a

Combine like terms: 6 + -7 = -1
6 + 3a = -1 + 2a

Solving
6 + 3a = -1 + 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.
6 + 3a + -2a = -1 + 2a + -2a

Combine like terms: 3a + -2a = 1a
6 + 1a = -1 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 1a = -1 + 0
6 + 1a = -1

Add '-6' to each side of the equation.
6 + -6 + 1a = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = -1 + -6
1a = -1 + -6

Combine like terms: -1 + -6 = -7
1a = -7

Divide each side by '1'.
a = -7

Simplifying
a = -7