83=-7(a-5)+a

Solution for 83=-7(a-5)+a equation:

Simplifying
83 = -7(a + -5) + a

Reorder the terms:
83 = -7(-5 + a) + a
83 = (-5 * -7 + a * -7) + a
83 = (35 + -7a) + a

Combine like terms: -7a + a = -6a
83 = 35 + -6a

Solving
83 = 35 + -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.
83 + 6a = 35 + -6a + 6a

Combine like terms: -6a + 6a = 0
83 + 6a = 35 + 0
83 + 6a = 35

Add '-83' to each side of the equation.
83 + -83 + 6a = 35 + -83

Combine like terms: 83 + -83 = 0
0 + 6a = 35 + -83
6a = 35 + -83

Combine like terms: 35 + -83 = -48
6a = -48

Divide each side by '6'.
a = -8

Simplifying
a = -8