6=5(a-7)

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

Simplifying
6 = 5(a + -7)

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

Solving
6 = -35 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + -5a = -35 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -5a = -35 + 0
6 + -5a = -35

Add '-6' to each side of the equation.
6 + -6 + -5a = -35 + -6

Combine like terms: 6 + -6 = 0
0 + -5a = -35 + -6
-5a = -35 + -6

Combine like terms: -35 + -6 = -41
-5a = -41

Divide each side by '-5'.
a = 8.2

Simplifying
a = 8.2