7(a+5)+2(6-3a)=1

Solution for 7(a+5)+2(6-3a)=1 equation:

Simplifying
7(a + 5) + 2(6 + -3a) = 1

Reorder the terms:
7(5 + a) + 2(6 + -3a) = 1
(5 * 7 + a * 7) + 2(6 + -3a) = 1
(35 + 7a) + 2(6 + -3a) = 1
35 + 7a + (6 * 2 + -3a * 2) = 1
35 + 7a + (12 + -6a) = 1

Reorder the terms:
35 + 12 + 7a + -6a = 1

Combine like terms: 35 + 12 = 47
47 + 7a + -6a = 1

Combine like terms: 7a + -6a = 1a
47 + 1a = 1

Solving
47 + 1a = 1

Solving for variable 'a'.

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

Add '-47' to each side of the equation.
47 + -47 + 1a = 1 + -47

Combine like terms: 47 + -47 = 0
0 + 1a = 1 + -47
1a = 1 + -47

Combine like terms: 1 + -47 = -46
1a = -46

Divide each side by '1'.
a = -46

Simplifying
a = -46