5(3a-7)=6a

Solution for 5(3a-7)=6a equation:

Simplifying
5(3a + -7) = 6a

Reorder the terms:
5(-7 + 3a) = 6a
(-7 * 5 + 3a * 5) = 6a
(-35 + 15a) = 6a

Solving
-35 + 15a = 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.
-35 + 15a + -6a = 6a + -6a

Combine like terms: 15a + -6a = 9a
-35 + 9a = 6a + -6a

Combine like terms: 6a + -6a = 0
-35 + 9a = 0

Add '35' to each side of the equation.
-35 + 35 + 9a = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 9a = 0 + 35
9a = 0 + 35

Combine like terms: 0 + 35 = 35
9a = 35

Divide each side by '9'.
a = 3.888888889

Simplifying
a = 3.888888889