0.25(x+3)=0.33(x-2)+1

Solution for 0.25(x+3)=0.33(x-2)+1 equation:

Simplifying
0.25(x + 3) = 0.33(x + -2) + 1

Reorder the terms:
0.25(3 + x) = 0.33(x + -2) + 1
(3 * 0.25 + x * 0.25) = 0.33(x + -2) + 1
(0.75 + 0.25x) = 0.33(x + -2) + 1

Reorder the terms:
0.75 + 0.25x = 0.33(-2 + x) + 1
0.75 + 0.25x = (-2 * 0.33 + x * 0.33) + 1
0.75 + 0.25x = (-0.66 + 0.33x) + 1

Reorder the terms:
0.75 + 0.25x = -0.66 + 1 + 0.33x

Combine like terms: -0.66 + 1 = 0.34
0.75 + 0.25x = 0.34 + 0.33x

Solving
0.75 + 0.25x = 0.34 + 0.33x

Solving for variable 'x'.

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

Add '-0.33x' to each side of the equation.
0.75 + 0.25x + -0.33x = 0.34 + 0.33x + -0.33x

Combine like terms: 0.25x + -0.33x = -0.08x
0.75 + -0.08x = 0.34 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
0.75 + -0.08x = 0.34 + 0.00
0.75 + -0.08x = 0.34

Add '-0.75' to each side of the equation.
0.75 + -0.75 + -0.08x = 0.34 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.08x = 0.34 + -0.75
-0.08x = 0.34 + -0.75

Combine like terms: 0.34 + -0.75 = -0.41
-0.08x = -0.41

Divide each side by '-0.08'.
x = 5.125

Simplifying
x = 5.125