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

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

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

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

Reorder the terms:
6 + 3a = 2(-7 + a)
6 + 3a = (-7 * 2 + a * 2)
6 + 3a = (-14 + 2a)

Solving
6 + 3a = -14 + 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 = -14 + 2a + -2a

Combine like terms: 3a + -2a = 1a
6 + 1a = -14 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 1a = -14 + 0
6 + 1a = -14

Add '-6' to each side of the equation.
6 + -6 + 1a = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = -14 + -6
1a = -14 + -6

Combine like terms: -14 + -6 = -20
1a = -20

Divide each side by '1'.
a = -20

Simplifying
a = -20