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

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

Simplifying
3(5a + 2) + -1a = 2(a + -3)

Reorder the terms:
3(2 + 5a) + -1a = 2(a + -3)
(2 * 3 + 5a * 3) + -1a = 2(a + -3)
(6 + 15a) + -1a = 2(a + -3)

Combine like terms: 15a + -1a = 14a
6 + 14a = 2(a + -3)

Reorder the terms:
6 + 14a = 2(-3 + a)
6 + 14a = (-3 * 2 + a * 2)
6 + 14a = (-6 + 2a)

Solving
6 + 14a = -6 + 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 + 14a + -2a = -6 + 2a + -2a

Combine like terms: 14a + -2a = 12a
6 + 12a = -6 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 12a = -6 + 0
6 + 12a = -6

Add '-6' to each side of the equation.
6 + -6 + 12a = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 12a = -6 + -6
12a = -6 + -6

Combine like terms: -6 + -6 = -12
12a = -12

Divide each side by '12'.
a = -1

Simplifying
a = -1