a-(3a+5)=7-59

Solution for a-(3a+5)=7-59 equation:

Simplifying
a + -1(3a + 5) = 7 + -59

Reorder the terms:
a + -1(5 + 3a) = 7 + -59
a + (5 * -1 + 3a * -1) = 7 + -59
a + (-5 + -3a) = 7 + -59

Reorder the terms:
-5 + a + -3a = 7 + -59

Combine like terms: a + -3a = -2a
-5 + -2a = 7 + -59

Combine like terms: 7 + -59 = -52
-5 + -2a = -52

Solving
-5 + -2a = -52

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + -2a = -52 + 5

Combine like terms: -5 + 5 = 0
0 + -2a = -52 + 5
-2a = -52 + 5

Combine like terms: -52 + 5 = -47
-2a = -47

Divide each side by '-2'.
a = 23.5

Simplifying
a = 23.5