0.75+2(a-0.5)=3a-0.4

Solution for 0.75+2(a-0.5)=3a-0.4 equation:

Simplifying
0.75 + 2(a + -0.5) = 3a + -0.4

Reorder the terms:
0.75 + 2(-0.5 + a) = 3a + -0.4
0.75 + (-0.5 * 2 + a * 2) = 3a + -0.4
0.75 + (-1 + 2a) = 3a + -0.4

Combine like terms: 0.75 + -1 = -0.25
-0.25 + 2a = 3a + -0.4

Reorder the terms:
-0.25 + 2a = -0.4 + 3a

Solving
-0.25 + 2a = -0.4 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-0.25 + 2a + -3a = -0.4 + 3a + -3a

Combine like terms: 2a + -3a = -1a
-0.25 + -1a = -0.4 + 3a + -3a

Combine like terms: 3a + -3a = 0
-0.25 + -1a = -0.4 + 0
-0.25 + -1a = -0.4

Add '0.25' to each side of the equation.
-0.25 + 0.25 + -1a = -0.4 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -1a = -0.4 + 0.25
-1a = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
-1a = -0.15

Divide each side by '-1'.
a = 0.15

Simplifying
a = 0.15