Solve ((0.25*100)+(0.3*10))/x-(100+10)=27.5

$$( ( 0.25 \times 100 ) + ( 0.3 \times 10 ) ) / x - ( 100 + 10 ) = 27.5$$

Solve for x

$$x=\frac{56}{275}\approx 0.203636364$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$0.25\times 100+0.3\times 10-x\left(100+10\right)=27.5x$$

Multiply 0.25 and 100 to get 25.

$$25+0.3\times 10-x\left(100+10\right)=27.5x$$

Multiply 0.3 and 10 to get 3.

$$25+3-x\left(100+10\right)=27.5x$$

Add 25 and 3 to get 28.

$$28-x\left(100+10\right)=27.5x$$

Add 100 and 10 to get 110.

$$28-x\times 110=27.5x$$

Subtract 27.5x from both sides.

$$28-x\times 110-27.5x=0$$

Multiply -1 and 110 to get -110.

$$28-110x-27.5x=0$$

Combine -110x and -27.5x to get -137.5x.

$$28-137.5x=0$$

Subtract 28 from both sides. Anything subtracted from zero gives its negation.

$$-137.5x=-28$$

Divide both sides by -137.5.

$$x=\frac{-28}{-137.5}$$

Expand \frac{-28}{-137.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-280}{-1375}$$

Reduce the fraction \frac{-280}{-1375} to lowest terms by extracting and canceling out -5.

$$x=\frac{56}{275}$$