2(a+10)=3(a-5)

Solution for 2(a+10)=3(a-5) equation:

Simplifying
2(a + 10) = 3(a + -5)

Reorder the terms:
2(10 + a) = 3(a + -5)
(10 * 2 + a * 2) = 3(a + -5)
(20 + 2a) = 3(a + -5)

Reorder the terms:
20 + 2a = 3(-5 + a)
20 + 2a = (-5 * 3 + a * 3)
20 + 2a = (-15 + 3a)

Solving
20 + 2a = -15 + 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.
20 + 2a + -3a = -15 + 3a + -3a

Combine like terms: 2a + -3a = -1a
20 + -1a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
20 + -1a = -15 + 0
20 + -1a = -15

Add '-20' to each side of the equation.
20 + -20 + -1a = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -1a = -15 + -20
-1a = -15 + -20

Combine like terms: -15 + -20 = -35
-1a = -35

Divide each side by '-1'.
a = 35

Simplifying
a = 35