.05(x)+.10(x+10)+.25(2(x+10))=12.50

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Solution for .05(x)+.10(x+10)+.25(2(x+10))=12.50 equation: 


Simplifying
0.05(x) + 0.10(x + 10) + 0.25(2(x + 10)) = 12.50

Reorder the terms:
0.05x + 0.10(10 + x) + 0.25(2(x + 10)) = 12.50
0.05x + (10 * 0.10 + x * 0.10) + 0.25(2(x + 10)) = 12.50
0.05x + (1 + 0.10x) + 0.25(2(x + 10)) = 12.50

Reorder the terms:
0.05x + 1 + 0.10x + 0.25(2(10 + x)) = 12.50
0.05x + 1 + 0.10x + 0.25((10 * 2 + x * 2)) = 12.50
0.05x + 1 + 0.10x + 0.25((20 + 2x)) = 12.50
0.05x + 1 + 0.10x + (20 * 0.25 + 2x * 0.25) = 12.50
0.05x + 1 + 0.10x + (5 + 0.5x) = 12.50

Reorder the terms:
1 + 5 + 0.05x + 0.10x + 0.5x = 12.50

Combine like terms: 1 + 5 = 6
6 + 0.05x + 0.10x + 0.5x = 12.50

Combine like terms: 0.05x + 0.10x = 0.15x
6 + 0.15x + 0.5x = 12.50

Combine like terms: 0.15x + 0.5x = 0.65x
6 + 0.65x = 12.50

Solving
6 + 0.65x = 12.50

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 0.65x = 12.50 + -6

Combine like terms: 6 + -6 = 0
0 + 0.65x = 12.50 + -6
0.65x = 12.50 + -6

Combine like terms: 12.50 + -6 = 6.5
0.65x = 6.5

Divide each side by '0.65'.
x = 10

Simplifying
x = 10

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