6(a+5)=7a

Solution for 6(a+5)=7a equation:

Simplifying
6(a + 5) = 7a

Reorder the terms:
6(5 + a) = 7a
(5 * 6 + a * 6) = 7a
(30 + 6a) = 7a

Solving
30 + 6a = 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
30 + 6a + -7a = 7a + -7a

Combine like terms: 6a + -7a = -1a
30 + -1a = 7a + -7a

Combine like terms: 7a + -7a = 0
30 + -1a = 0

Add '-30' to each side of the equation.
30 + -30 + -1a = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1a = 0 + -30
-1a = 0 + -30

Combine like terms: 0 + -30 = -30
-1a = -30

Divide each side by '-1'.
a = 30

Simplifying
a = 30