3(a-2)=a+10

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

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

Reorder the terms:
3(-2 + a) = a + 10
(-2 * 3 + a * 3) = a + 10
(-6 + 3a) = a + 10

Reorder the terms:
-6 + 3a = 10 + a

Solving
-6 + 3a = 10 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-6 + 3a + -1a = 10 + a + -1a

Combine like terms: 3a + -1a = 2a
-6 + 2a = 10 + a + -1a

Combine like terms: a + -1a = 0
-6 + 2a = 10 + 0
-6 + 2a = 10

Add '6' to each side of the equation.
-6 + 6 + 2a = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 2a = 10 + 6
2a = 10 + 6

Combine like terms: 10 + 6 = 16
2a = 16

Divide each side by '2'.
a = 8

Simplifying
a = 8