What is 3/4 x+0.25(x-6)+28.4 ?

The solution to 3/4 x+0.25(x-6)+28.4 is x+269/10

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simplify 3/4 x+0.25(x-6)+28.4

simplify

\frac{3}{4} x + 0.25 (x - 6) + 28.4

x + \frac{269}{10}

Solution steps

\frac{3}{4} x + 0.25 (x - 6) + 28.4

Expand

0.25 (x - 6) : 0.25 x - 1.5

= \frac{3}{4} x + 0.25 x - 1.5 + 28.4

0.25 = \frac{1}{4}

= \frac{3}{4} x + \frac{1}{4} x - 1.5 + 28.4

1.5 = \frac{3}{2}

= \frac{3}{4} x + \frac{1}{4} x - \frac{3}{2} + 28.4

28.4 = \frac{142}{5}

= \frac{3}{4} x + \frac{1}{4} x - \frac{3}{2} + \frac{142}{5}

\frac{3}{4} x = \frac{3 x}{4}

\frac{1}{4} x = \frac{x}{4}

= \frac{3 x}{4} + \frac{x}{4} - \frac{3}{2} + \frac{142}{5}

Join

\frac{3 x}{4} + \frac{x}{4} - \frac{3}{2} + \frac{142}{5} : x + \frac{269}{10}

= x + \frac{269}{10}

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