2(a+5)=3(a-8)

Solution for 2(a+5)=3(a-8) equation:

Simplifying
2(a + 5) = 3(a + -8)

Reorder the terms:
2(5 + a) = 3(a + -8)
(5 * 2 + a * 2) = 3(a + -8)
(10 + 2a) = 3(a + -8)

Reorder the terms:
10 + 2a = 3(-8 + a)
10 + 2a = (-8 * 3 + a * 3)
10 + 2a = (-24 + 3a)

Solving
10 + 2a = -24 + 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.
10 + 2a + -3a = -24 + 3a + -3a

Combine like terms: 2a + -3a = -1a
10 + -1a = -24 + 3a + -3a

Combine like terms: 3a + -3a = 0
10 + -1a = -24 + 0
10 + -1a = -24

Add '-10' to each side of the equation.
10 + -10 + -1a = -24 + -10

Combine like terms: 10 + -10 = 0
0 + -1a = -24 + -10
-1a = -24 + -10

Combine like terms: -24 + -10 = -34
-1a = -34

Divide each side by '-1'.
a = 34

Simplifying
a = 34