-29a-83=a+487

Solution for -29a-83=a+487 equation:

Simplifying
-29a + -83 = a + 487

Reorder the terms:
-83 + -29a = a + 487

Reorder the terms:
-83 + -29a = 487 + a

Solving
-83 + -29a = 487 + 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.
-83 + -29a + -1a = 487 + a + -1a

Combine like terms: -29a + -1a = -30a
-83 + -30a = 487 + a + -1a

Combine like terms: a + -1a = 0
-83 + -30a = 487 + 0
-83 + -30a = 487

Add '83' to each side of the equation.
-83 + 83 + -30a = 487 + 83

Combine like terms: -83 + 83 = 0
0 + -30a = 487 + 83
-30a = 487 + 83

Combine like terms: 487 + 83 = 570
-30a = 570

Divide each side by '-30'.
a = -19

Simplifying
a = -19