Solve 8*4/7-16x=-20

$$8 \times \frac{ 4 }{ 7 } -16x=-20$$

Solve for x

$$x = \frac{43}{28} = 1\frac{15}{28} \approx 1.535714286$$

Steps for Solving Linear Equation

Express 8\times \frac{4}{7} as a single fraction.

$$\frac{8\times 4}{7}-16x=-20$$

Multiply 8 and 4 to get 32.

$$\frac{32}{7}-16x=-20$$

Subtract \frac{32}{7} from both sides.

$$-16x=-20-\frac{32}{7}$$

Convert -20 to fraction -\frac{140}{7}.

$$-16x=-\frac{140}{7}-\frac{32}{7}$$

Since -\frac{140}{7} and \frac{32}{7} have the same denominator, subtract them by subtracting their numerators.

$$-16x=\frac{-140-32}{7}$$

Subtract 32 from -140 to get -172.

$$-16x=-\frac{172}{7}$$

Divide both sides by -16.

$$x=\frac{-\frac{172}{7}}{-16}$$

Express \frac{-\frac{172}{7}}{-16} as a single fraction.

$$x=\frac{-172}{7\left(-16\right)}$$

Multiply 7 and -16 to get -112.

$$x=\frac{-172}{-112}$$

Reduce the fraction \frac{-172}{-112} to lowest terms by extracting and canceling out -4.

$$x=\frac{43}{28}$$