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

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

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

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

Solving
-42 + 7a = -3 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-42 + 7a + -6a = -3 + 6a + -6a

Combine like terms: 7a + -6a = 1a
-42 + 1a = -3 + 6a + -6a

Combine like terms: 6a + -6a = 0
-42 + 1a = -3 + 0
-42 + 1a = -3

Add '42' to each side of the equation.
-42 + 42 + 1a = -3 + 42

Combine like terms: -42 + 42 = 0
0 + 1a = -3 + 42
1a = -3 + 42

Combine like terms: -3 + 42 = 39
1a = 39

Divide each side by '1'.
a = 39

Simplifying
a = 39