.10x+.25(x+2.5)=16

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Solution for .10x+.25(x+2.5)=16 equation: 


Simplifying
0.10x + 0.25(x + 2.5) = 16

Reorder the terms:
0.10x + 0.25(2.5 + x) = 16
0.10x + (2.5 * 0.25 + x * 0.25) = 16
0.10x + (0.625 + 0.25x) = 16

Reorder the terms:
0.625 + 0.10x + 0.25x = 16

Combine like terms: 0.10x + 0.25x = 0.35x
0.625 + 0.35x = 16

Solving
0.625 + 0.35x = 16

Solving for variable 'x'.

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

Add '-0.625' to each side of the equation.
0.625 + -0.625 + 0.35x = 16 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.35x = 16 + -0.625
0.35x = 16 + -0.625

Combine like terms: 16 + -0.625 = 15.375
0.35x = 15.375

Divide each side by '0.35'.
x = 43.92857143

Simplifying
x = 43.92857143

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