.10x+.25(x+50)=82.50

Solution for .10x+.25(x+50)=82.50 equation:

Simplifying
0.10x + 0.25(x + 50) = 82.50

Reorder the terms:
0.10x + 0.25(50 + x) = 82.50
0.10x + (50 * 0.25 + x * 0.25) = 82.50
0.10x + (12.5 + 0.25x) = 82.50

Reorder the terms:
12.5 + 0.10x + 0.25x = 82.50

Combine like terms: 0.10x + 0.25x = 0.35x
12.5 + 0.35x = 82.50

Solving
12.5 + 0.35x = 82.50

Solving for variable 'x'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 0.35x = 82.50 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 0.35x = 82.50 + -12.5
0.35x = 82.50 + -12.5

Combine like terms: 82.50 + -12.5 = 70
0.35x = 70

Divide each side by '0.35'.
x = 200

Simplifying
x = 200