6-0.75a=0.5a+1

Solution for 6-0.75a=0.5a+1 equation:

Simplifying
6 + -0.75a = 0.5a + 1

Reorder the terms:
6 + -0.75a = 1 + 0.5a

Solving
6 + -0.75a = 1 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
6 + -0.75a + -0.5a = 1 + 0.5a + -0.5a

Combine like terms: -0.75a + -0.5a = -1.25a
6 + -1.25a = 1 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
6 + -1.25a = 1 + 0.0
6 + -1.25a = 1

Add '-6' to each side of the equation.
6 + -6 + -1.25a = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -1.25a = 1 + -6
-1.25a = 1 + -6

Combine like terms: 1 + -6 = -5
-1.25a = -5

Divide each side by '-1.25'.
a = 4

Simplifying
a = 4