13-(1+5)(2-3a)=55

Solution for 13-(1+5)(2-3a)=55 equation:

Simplifying
13 + -1(1 + 5)(2 + -3a) = 55

Combine like terms: 1 + 5 = 6
13 + -1(6)(2 + -3a) = 55

Multiply -1 * 6
13 + -6(2 + -3a) = 55
13 + (2 * -6 + -3a * -6) = 55
13 + (-12 + 18a) = 55

Combine like terms: 13 + -12 = 1
1 + 18a = 55

Solving
1 + 18a = 55

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + 18a = 55 + -1

Combine like terms: 1 + -1 = 0
0 + 18a = 55 + -1
18a = 55 + -1

Combine like terms: 55 + -1 = 54
18a = 54

Divide each side by '18'.
a = 3

Simplifying
a = 3