.5a+.6=a+a+5a

Solution for .5a+.6=a+a+5a equation:

Simplifying
0.5a + 0.6 = a + a + 5a

Reorder the terms:
0.6 + 0.5a = a + a + 5a

Combine like terms: a + a = 2a
0.6 + 0.5a = 2a + 5a

Combine like terms: 2a + 5a = 7a
0.6 + 0.5a = 7a

Solving
0.6 + 0.5a = 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
0.6 + 0.5a + -7a = 7a + -7a

Combine like terms: 0.5a + -7a = -6.5a
0.6 + -6.5a = 7a + -7a

Combine like terms: 7a + -7a = 0
0.6 + -6.5a = 0

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -6.5a = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -6.5a = 0 + -0.6
-6.5a = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-6.5a = -0.6

Divide each side by '-6.5'.
a = 0.09230769231

Simplifying
a = 0.09230769231