0.5(2a-3.5)=0.25(6-a)+1

Solution for 0.5(2a-3.5)=0.25(6-a)+1 equation:

Simplifying
0.5(2a + -3.5) = 0.25(6 + -1a) + 1

Reorder the terms:
0.5(-3.5 + 2a) = 0.25(6 + -1a) + 1
(-3.5 * 0.5 + 2a * 0.5) = 0.25(6 + -1a) + 1
(-1.75 + 1a) = 0.25(6 + -1a) + 1
-1.75 + 1a = (6 * 0.25 + -1a * 0.25) + 1
-1.75 + 1a = (1.5 + -0.25a) + 1

Reorder the terms:
-1.75 + 1a = 1.5 + 1 + -0.25a

Combine like terms: 1.5 + 1 = 2.5
-1.75 + 1a = 2.5 + -0.25a

Solving
-1.75 + 1a = 2.5 + -0.25a

Solving for variable 'a'.

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

Add '0.25a' to each side of the equation.
-1.75 + 1a + 0.25a = 2.5 + -0.25a + 0.25a

Combine like terms: 1a + 0.25a = 1.25a
-1.75 + 1.25a = 2.5 + -0.25a + 0.25a

Combine like terms: -0.25a + 0.25a = 0.00
-1.75 + 1.25a = 2.5 + 0.00
-1.75 + 1.25a = 2.5

Add '1.75' to each side of the equation.
-1.75 + 1.75 + 1.25a = 2.5 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + 1.25a = 2.5 + 1.75
1.25a = 2.5 + 1.75

Combine like terms: 2.5 + 1.75 = 4.25
1.25a = 4.25

Divide each side by '1.25'.
a = 3.4

Simplifying
a = 3.4