0.15x+0.10(260-x)=29.75

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Solution for 0.15x+0.10(260-x)=29.75 equation: 


Simplifying
0.15x + 0.10(260 + -1x) = 29.75
0.15x + (260 * 0.10 + -1x * 0.10) = 29.75
0.15x + (26 + -0.1x) = 29.75

Reorder the terms:
26 + 0.15x + -0.1x = 29.75

Combine like terms: 0.15x + -0.1x = 0.05x
26 + 0.05x = 29.75

Solving
26 + 0.05x = 29.75

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 0.05x = 29.75 + -26

Combine like terms: 26 + -26 = 0
0 + 0.05x = 29.75 + -26
0.05x = 29.75 + -26

Combine like terms: 29.75 + -26 = 3.75
0.05x = 3.75

Divide each side by '0.05'.
x = 75

Simplifying
x = 75

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