-3(2a-1)=2(a+3)+a

Solution for -3(2a-1)=2(a+3)+a equation:

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

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

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

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

Solving
3 + -6a = 6 + 3a

Solving for variable 'a'.

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

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

Combine like terms: -6a + -3a = -9a
3 + -9a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
3 + -9a = 6 + 0
3 + -9a = 6

Add '-3' to each side of the equation.
3 + -3 + -9a = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -9a = 6 + -3
-9a = 6 + -3

Combine like terms: 6 + -3 = 3
-9a = 3

Divide each side by '-9'.
a = -0.3333333333

Simplifying
a = -0.3333333333