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

Solution for 3(a+2)=5(a-1) equation:

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

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

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

Solving
6 + 3a = -5 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + 3a + -5a = -5 + 5a + -5a

Combine like terms: 3a + -5a = -2a
6 + -2a = -5 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -2a = -5 + 0
6 + -2a = -5

Add '-6' to each side of the equation.
6 + -6 + -2a = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = -5 + -6
-2a = -5 + -6

Combine like terms: -5 + -6 = -11
-2a = -11

Divide each side by '-2'.
a = 5.5

Simplifying
a = 5.5