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

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

Simplifying
0 = 2(a + 3) + 3(2a + -1)

Reorder the terms:
0 = 2(3 + a) + 3(2a + -1)
0 = (3 * 2 + a * 2) + 3(2a + -1)
0 = (6 + 2a) + 3(2a + -1)

Reorder the terms:
0 = 6 + 2a + 3(-1 + 2a)
0 = 6 + 2a + (-1 * 3 + 2a * 3)
0 = 6 + 2a + (-3 + 6a)

Reorder the terms:
0 = 6 + -3 + 2a + 6a

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

Combine like terms: 2a + 6a = 8a
0 = 3 + 8a

Solving
0 = 3 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
0 + -8a = 3 + 8a + -8a
Remove the zero:
-8a = 3 + 8a + -8a

Combine like terms: 8a + -8a = 0
-8a = 3 + 0
-8a = 3

Divide each side by '-8'.
a = -0.375

Simplifying
a = -0.375