5a+6=9a-(7a+18)

Solution for 5a+6=9a-(7a+18) equation:

Simplifying
5a + 6 = 9a + -1(7a + 18)

Reorder the terms:
6 + 5a = 9a + -1(7a + 18)

Reorder the terms:
6 + 5a = 9a + -1(18 + 7a)
6 + 5a = 9a + (18 * -1 + 7a * -1)
6 + 5a = 9a + (-18 + -7a)

Reorder the terms:
6 + 5a = -18 + 9a + -7a

Combine like terms: 9a + -7a = 2a
6 + 5a = -18 + 2a

Solving
6 + 5a = -18 + 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 + 5a + -2a = -18 + 2a + -2a

Combine like terms: 5a + -2a = 3a
6 + 3a = -18 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 3a = -18 + 0
6 + 3a = -18

Add '-6' to each side of the equation.
6 + -6 + 3a = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 3a = -18 + -6
3a = -18 + -6

Combine like terms: -18 + -6 = -24
3a = -24

Divide each side by '3'.
a = -8

Simplifying
a = -8