Solve 7/3*6-30%x=1.7

$$\frac{ 7 }{ 3 } \times 6-30 \% x=1.7$$

Solve for x

$$x=41$$

Steps for Solving Linear Equation

Express \frac{7}{3}\times 6 as a single fraction.

$$\frac{7\times 6}{3}-\frac{30}{100}x=1.7$$

Multiply 7 and 6 to get 42.

$$\frac{42}{3}-\frac{30}{100}x=1.7$$

Divide 42 by 3 to get 14.

$$14-\frac{30}{100}x=1.7$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$14-\frac{3}{10}x=1.7$$

Subtract 14 from both sides.

$$-\frac{3}{10}x=1.7-14$$

Subtract 14 from 1.7 to get -12.3.

$$-\frac{3}{10}x=-12.3$$

Multiply both sides by -\frac{10}{3}, the reciprocal of -\frac{3}{10}.

$$x=-12.3\left(-\frac{10}{3}\right)$$

Convert decimal number -12.3 to fraction -\frac{123}{10}.

$$x=-\frac{123}{10}\left(-\frac{10}{3}\right)$$

Multiply -\frac{123}{10} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-123\left(-10\right)}{10\times 3}$$

Do the multiplications in the fraction \frac{-123\left(-10\right)}{10\times 3}.

$$x=\frac{1230}{30}$$

Divide 1230 by 30 to get 41.

$$x=41$$