.05x+0.25(40+x)+0.10(3x)=17.20

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Solution for .05x+0.25(40+x)+0.10(3x)=17.20 equation:


Simplifying
0.05x + 0.25(40 + x) + 0.10(3x) = 17.20
0.05x + (40 * 0.25 + x * 0.25) + 0.10(3x) = 17.20
0.05x + (10 + 0.25x) + 0.10(3x) = 17.20

Remove parenthesis around (3x)
0.05x + 10 + 0.25x + 0.10 * 3x = 17.20

Multiply 0.10 * 3
0.05x + 10 + 0.25x + 0.3x = 17.20

Reorder the terms:
10 + 0.05x + 0.25x + 0.3x = 17.20

Combine like terms: 0.05x + 0.25x = 0.3x
10 + 0.3x + 0.3x = 17.20

Combine like terms: 0.3x + 0.3x = 0.6x
10 + 0.6x = 17.20

Solving
10 + 0.6x = 17.20

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 0.6x = 17.20 + -10

Combine like terms: 10 + -10 = 0
0 + 0.6x = 17.20 + -10
0.6x = 17.20 + -10

Combine like terms: 17.20 + -10 = 7.2
0.6x = 7.2

Divide each side by '0.6'.
x = 12

Simplifying
x = 12

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