0.5a+a=0.6a+(a+5)

Solution for 0.5a+a=0.6a+(a+5) equation:

Simplifying
0.5a + a = 0.6a + (a + 5)

Combine like terms: 0.5a + a = 1.5a
1.5a = 0.6a + (a + 5)

Reorder the terms:
1.5a = 0.6a + (5 + a)

Remove parenthesis around (5 + a)
1.5a = 0.6a + 5 + a

Reorder the terms:
1.5a = 5 + 0.6a + a

Combine like terms: 0.6a + a = 1.6a
1.5a = 5 + 1.6a

Solving
1.5a = 5 + 1.6a

Solving for variable 'a'.

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

Add '-1.6a' to each side of the equation.
1.5a + -1.6a = 5 + 1.6a + -1.6a

Combine like terms: 1.5a + -1.6a = -0.1a
-0.1a = 5 + 1.6a + -1.6a

Combine like terms: 1.6a + -1.6a = 0.0
-0.1a = 5 + 0.0
-0.1a = 5

Divide each side by '-0.1'.
a = -50

Simplifying
a = -50