6-3a=9-2(a+5)

Solution for 6-3a=9-2(a+5) equation:

Simplifying
6 + -3a = 9 + -2(a + 5)

Reorder the terms:
6 + -3a = 9 + -2(5 + a)
6 + -3a = 9 + (5 * -2 + a * -2)
6 + -3a = 9 + (-10 + -2a)

Combine like terms: 9 + -10 = -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