Solve 14x*80%+(210-14x)*90%=182

$$14x \times 80 \% +(210-14x) \times 90 \% =182$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$14x\times \frac{4}{5}+\left(210-14x\right)\times \frac{90}{100}=182$$

Express 14\times \frac{4}{5} as a single fraction.

$$\frac{14\times 4}{5}x+\left(210-14x\right)\times \frac{90}{100}=182$$

Multiply 14 and 4 to get 56.

$$\frac{56}{5}x+\left(210-14x\right)\times \frac{90}{100}=182$$

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$\frac{56}{5}x+\left(210-14x\right)\times \frac{9}{10}=182$$

Use the distributive property to multiply 210-14x by \frac{9}{10}.

$$\frac{56}{5}x+210\times \frac{9}{10}-14x\times \frac{9}{10}=182$$

Express 210\times \frac{9}{10} as a single fraction.

$$\frac{56}{5}x+\frac{210\times 9}{10}-14x\times \frac{9}{10}=182$$

Multiply 210 and 9 to get 1890.

$$\frac{56}{5}x+\frac{1890}{10}-14x\times \frac{9}{10}=182$$

Divide 1890 by 10 to get 189.

$$\frac{56}{5}x+189-14x\times \frac{9}{10}=182$$

Express -14\times \frac{9}{10} as a single fraction.

$$\frac{56}{5}x+189+\frac{-14\times 9}{10}x=182$$

Multiply -14 and 9 to get -126.

$$\frac{56}{5}x+189+\frac{-126}{10}x=182$$

Reduce the fraction \frac{-126}{10} to lowest terms by extracting and canceling out 2.

$$\frac{56}{5}x+189-\frac{63}{5}x=182$$

Combine \frac{56}{5}x and -\frac{63}{5}x to get -\frac{7}{5}x.

$$-\frac{7}{5}x+189=182$$

Subtract 189 from both sides.

$$-\frac{7}{5}x=182-189$$

Subtract 189 from 182 to get -7.

$$-\frac{7}{5}x=-7$$

Multiply both sides by -\frac{5}{7}, the reciprocal of -\frac{7}{5}.

$$x=-7\left(-\frac{5}{7}\right)$$

Multiply -7 times -\frac{5}{7}.

$$x=5$$