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

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

Simplifying
9 + -1(2 + -3a) = 6 + 3a + -1(5 + -1a)
9 + (2 * -1 + -3a * -1) = 6 + 3a + -1(5 + -1a)
9 + (-2 + 3a) = 6 + 3a + -1(5 + -1a)

Combine like terms: 9 + -2 = 7
7 + 3a = 6 + 3a + -1(5 + -1a)
7 + 3a = 6 + 3a + (5 * -1 + -1a * -1)
7 + 3a = 6 + 3a + (-5 + 1a)

Reorder the terms:
7 + 3a = 6 + -5 + 3a + 1a

Combine like terms: 6 + -5 = 1
7 + 3a = 1 + 3a + 1a

Combine like terms: 3a + 1a = 4a
7 + 3a = 1 + 4a

Solving
7 + 3a = 1 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
7 + 3a + -4a = 1 + 4a + -4a

Combine like terms: 3a + -4a = -1a
7 + -1a = 1 + 4a + -4a

Combine like terms: 4a + -4a = 0
7 + -1a = 1 + 0
7 + -1a = 1

Add '-7' to each side of the equation.
7 + -7 + -1a = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 1 + -7
-1a = 1 + -7

Combine like terms: 1 + -7 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6