Solve 0.2left(x-30right)=16x

$$0.2 \left( x-30 \right) = 16x$$

Solve for x

$$x=-\frac{30}{79}\approx -0.379746835$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by x-30.

$$0.2x-6=16x$$

Subtract 16x from both sides.

$$0.2x-6-16x=0$$

Combine 0.2x and -16x to get -15.8x.

$$-15.8x-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$-15.8x=6$$

Divide both sides by -15.8.

$$x=\frac{6}{-15.8}$$

Expand \frac{6}{-15.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{60}{-158}$$

Reduce the fraction \frac{60}{-158} to lowest terms by extracting and canceling out 2.

$$x=-\frac{30}{79}$$