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

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

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

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

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

Solving
6 + 3a = -14 + 7a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7a' to each side of the equation.
6 + 3a + -7a = -14 + 7a + -7a

Combine like terms: 3a + -7a = -4a
6 + -4a = -14 + 7a + -7a

Combine like terms: 7a + -7a = 0
6 + -4a = -14 + 0
6 + -4a = -14

Add '-6' to each side of the equation.
6 + -6 + -4a = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = -14 + -6
-4a = -14 + -6

Combine like terms: -14 + -6 = -20
-4a = -20

Divide each side by '-4'.
a = 5

Simplifying
a = 5