(a-36)+(a-46)=a+33

Solution for (a-36)+(a-46)=a+33 equation:

Simplifying
(a + -36) + (a + -46) = a + 33

Reorder the terms:
(-36 + a) + (a + -46) = a + 33

Remove parenthesis around (-36 + a)
-36 + a + (a + -46) = a + 33

Reorder the terms:
-36 + a + (-46 + a) = a + 33

Remove parenthesis around (-46 + a)
-36 + a + -46 + a = a + 33

Reorder the terms:
-36 + -46 + a + a = a + 33

Combine like terms: -36 + -46 = -82
-82 + a + a = a + 33

Combine like terms: a + a = 2a
-82 + 2a = a + 33

Reorder the terms:
-82 + 2a = 33 + a

Solving
-82 + 2a = 33 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-82 + 2a + -1a = 33 + a + -1a

Combine like terms: 2a + -1a = 1a
-82 + 1a = 33 + a + -1a

Combine like terms: a + -1a = 0
-82 + 1a = 33 + 0
-82 + 1a = 33

Add '82' to each side of the equation.
-82 + 82 + 1a = 33 + 82

Combine like terms: -82 + 82 = 0
0 + 1a = 33 + 82
1a = 33 + 82

Combine like terms: 33 + 82 = 115
1a = 115

Divide each side by '1'.
a = 115

Simplifying
a = 115