Solve 0.01(0.6x-4)-0.02x=0.11

$$0.01(0.6x-4)-0.02x=0.11$$

Solve for x

$$x = -\frac{75}{7} = -10\frac{5}{7} \approx -10.714285714$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.01 by 0.6x-4.

$$0.006x-0.04-0.02x=0.11$$

Combine 0.006x and -0.02x to get -0.014x.

$$-0.014x-0.04=0.11$$

Add 0.04 to both sides.

$$-0.014x=0.11+0.04$$

Add 0.11 and 0.04 to get 0.15.

$$-0.014x=0.15$$

Divide both sides by -0.014.

$$x=\frac{0.15}{-0.014}$$

Expand \frac{0.15}{-0.014} by multiplying both numerator and the denominator by 1000.

$$x=\frac{150}{-14}$$

Reduce the fraction \frac{150}{-14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{75}{7}$$