Solve 17x+5div25x-5=3/4

$$17x+5 \div 25x-5= \frac{ 3 }{ 4 }$$

Solve for x

$$x=\frac{115}{344}\approx 0.334302326$$

Steps for Solving Linear Equation

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$17x+\frac{1}{5}x-5=\frac{3}{4}$$

Combine 17x and \frac{1}{5}x to get \frac{86}{5}x.

$$\frac{86}{5}x-5=\frac{3}{4}$$

Add 5 to both sides.

$$\frac{86}{5}x=\frac{3}{4}+5$$

Convert 5 to fraction \frac{20}{4}.

$$\frac{86}{5}x=\frac{3}{4}+\frac{20}{4}$$

Since \frac{3}{4} and \frac{20}{4} have the same denominator, add them by adding their numerators.

$$\frac{86}{5}x=\frac{3+20}{4}$$

Add 3 and 20 to get 23.

$$\frac{86}{5}x=\frac{23}{4}$$

Multiply both sides by \frac{5}{86}, the reciprocal of \frac{86}{5}.

$$x=\frac{23}{4}\times \frac{5}{86}$$

Multiply \frac{23}{4} times \frac{5}{86} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{23\times 5}{4\times 86}$$

Do the multiplications in the fraction \frac{23\times 5}{4\times 86}.

$$x=\frac{115}{344}$$