3(a+2)=7(9-a)

Solution for 3(a+2)=7(9-a) equation:

Simplifying
3(a + 2) = 7(9 + -1a)

Reorder the terms:
3(2 + a) = 7(9 + -1a)
(2 * 3 + a * 3) = 7(9 + -1a)
(6 + 3a) = 7(9 + -1a)
6 + 3a = (9 * 7 + -1a * 7)
6 + 3a = (63 + -7a)

Solving
6 + 3a = 63 + -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 = 63 + -7a + 7a

Combine like terms: 3a + 7a = 10a
6 + 10a = 63 + -7a + 7a

Combine like terms: -7a + 7a = 0
6 + 10a = 63 + 0
6 + 10a = 63

Add '-6' to each side of the equation.
6 + -6 + 10a = 63 + -6

Combine like terms: 6 + -6 = 0
0 + 10a = 63 + -6
10a = 63 + -6

Combine like terms: 63 + -6 = 57
10a = 57

Divide each side by '10'.
a = 5.7

Simplifying
a = 5.7