Solve 0.266=0.343*200-x/200-x

$$0.266= \frac{ 0.343 \times 200-x }{ 200-x }$$

Solve for x

$$x = \frac{7700}{367} = 20\frac{360}{367} \approx 20.980926431$$

Steps for Solving Linear Equation

Variable x cannot be equal to 200 since division by zero is not defined. Multiply both sides of the equation by -x+200.

$$0.266\left(-x+200\right)=0.343\times 200-x$$

Use the distributive property to multiply 0.266 by -x+200.

$$-0.266x+53.2=0.343\times 200-x$$

Multiply 0.343 and 200 to get 68.6.

$$-0.266x+53.2=68.6-x$$

Add x to both sides.

$$-0.266x+53.2+x=68.6$$

Combine -0.266x and x to get 0.734x.

$$0.734x+53.2=68.6$$

Subtract 53.2 from both sides.

$$0.734x=68.6-53.2$$

Subtract 53.2 from 68.6 to get 15.4.

$$0.734x=15.4$$

Divide both sides by 0.734.

$$x=\frac{15.4}{0.734}$$

Expand \frac{15.4}{0.734} by multiplying both numerator and the denominator by 1000.

$$x=\frac{15400}{734}$$

Reduce the fraction \frac{15400}{734} to lowest terms by extracting and canceling out 2.

$$x=\frac{7700}{367}$$