Solve 26.6/12.8=23/x

$$\frac { 26.6 } { 12.8 } = \frac { 23 } { x }$$

Solve for x

$$x = \frac{1472}{133} = 11\frac{9}{133} \approx 11.067669173$$

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.

$$x\times \frac{26.6}{12.8}=23$$

Expand \frac{26.6}{12.8} by multiplying both numerator and the denominator by 10.

$$x\times \frac{266}{128}=23$$

Reduce the fraction \frac{266}{128} to lowest terms by extracting and canceling out 2.

$$x\times \frac{133}{64}=23$$

Multiply both sides by \frac{64}{133}, the reciprocal of \frac{133}{64}.

$$x=23\times \frac{64}{133}$$

Express 23\times \frac{64}{133} as a single fraction.

$$x=\frac{23\times 64}{133}$$

Multiply 23 and 64 to get 1472.

$$x=\frac{1472}{133}$$