Solve 0.05z+0.2=0.15z-10.5

$$0.05z+0.2=0.15z-10.5$$

Solve for z

$$z=107$$

Steps for Solving Linear Equation

Subtract 0.15z from both sides.

$$0.05z+0.2-0.15z=-10.5$$

Combine 0.05z and -0.15z to get -0.1z.

$$-0.1z+0.2=-10.5$$

Subtract 0.2 from both sides.

$$-0.1z=-10.5-0.2$$

Subtract 0.2 from -10.5 to get -10.7.

$$-0.1z=-10.7$$

Divide both sides by -0.1.

$$z=\frac{-10.7}{-0.1}$$

Expand \frac{-10.7}{-0.1} by multiplying both numerator and the denominator by 10.

$$z=\frac{-107}{-1}$$

Fraction \frac{-107}{-1} can be simplified to 107 by removing the negative sign from both the numerator and the denominator.

$$z=107$$