0.25(5x-4)-0.1(6-3x)=0.4

Solution for 0.25(5x-4)-0.1(6-3x)=0.4 equation:

Simplifying
0.25(5x + -4) + -0.1(6 + -3x) = 0.4

Reorder the terms:
0.25(-4 + 5x) + -0.1(6 + -3x) = 0.4
(-4 * 0.25 + 5x * 0.25) + -0.1(6 + -3x) = 0.4
(-1 + 1.25x) + -0.1(6 + -3x) = 0.4
-1 + 1.25x + (6 * -0.1 + -3x * -0.1) = 0.4
-1 + 1.25x + (-0.6 + 0.3x) = 0.4

Reorder the terms:
-1 + -0.6 + 1.25x + 0.3x = 0.4

Combine like terms: -1 + -0.6 = -1.6
-1.6 + 1.25x + 0.3x = 0.4

Combine like terms: 1.25x + 0.3x = 1.55x
-1.6 + 1.55x = 0.4

Solving
-1.6 + 1.55x = 0.4

Solving for variable 'x'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1.55x = 0.4 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1.55x = 0.4 + 1.6
1.55x = 0.4 + 1.6

Combine like terms: 0.4 + 1.6 = 2
1.55x = 2

Divide each side by '1.55'.
x = 1.290322581

Simplifying
x = 1.290322581