7(a-6)=3a+10

Solution for 7(a-6)=3a+10 equation:

Simplifying
7(a + -6) = 3a + 10

Reorder the terms:
7(-6 + a) = 3a + 10
(-6 * 7 + a * 7) = 3a + 10
(-42 + 7a) = 3a + 10

Reorder the terms:
-42 + 7a = 10 + 3a

Solving
-42 + 7a = 10 + 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.
-42 + 7a + -3a = 10 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-42 + 4a = 10 + 3a + -3a

Combine like terms: 3a + -3a = 0
-42 + 4a = 10 + 0
-42 + 4a = 10

Add '42' to each side of the equation.
-42 + 42 + 4a = 10 + 42

Combine like terms: -42 + 42 = 0
0 + 4a = 10 + 42
4a = 10 + 42

Combine like terms: 10 + 42 = 52
4a = 52

Divide each side by '4'.
a = 13

Simplifying
a = 13