.25(5x+2)-.2(x+3)=2

Solution for .25(5x+2)-.2(x+3)=2 equation:

Simplifying
0.25(5x + 2) + -0.2(x + 3) = 2

Reorder the terms:
0.25(2 + 5x) + -0.2(x + 3) = 2
(2 * 0.25 + 5x * 0.25) + -0.2(x + 3) = 2
(0.5 + 1.25x) + -0.2(x + 3) = 2

Reorder the terms:
0.5 + 1.25x + -0.2(3 + x) = 2
0.5 + 1.25x + (3 * -0.2 + x * -0.2) = 2
0.5 + 1.25x + (-0.6 + -0.2x) = 2

Reorder the terms:
0.5 + -0.6 + 1.25x + -0.2x = 2

Combine like terms: 0.5 + -0.6 = -0.1
-0.1 + 1.25x + -0.2x = 2

Combine like terms: 1.25x + -0.2x = 1.05x
-0.1 + 1.05x = 2

Solving
-0.1 + 1.05x = 2

Solving for variable 'x'.

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

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 1.05x = 2 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 1.05x = 2 + 0.1
1.05x = 2 + 0.1

Combine like terms: 2 + 0.1 = 2.1
1.05x = 2.1

Divide each side by '1.05'.
x = 2

Simplifying
x = 2