Solve 0.15*9.8-0.15x-0.1x=0.5*0.1x

$$0.15 \cdot 9.8-0.15x-0.1x = 0.5 \cdot 0.1x$$

Solve for x

$$x=4.9$$

Steps for Solving Linear Equation

Multiply 0.15 and 9.8 to get 1.47.

$$1.47-0.15x-0.1x=0.5\times 0.1x$$

Combine -0.15x and -0.1x to get -0.25x.

$$1.47-0.25x=0.5\times 0.1x$$

Multiply 0.5 and 0.1 to get 0.05.

$$1.47-0.25x=0.05x$$

Subtract 0.05x from both sides.

$$1.47-0.25x-0.05x=0$$

Combine -0.25x and -0.05x to get -0.3x.

$$1.47-0.3x=0$$

Subtract 1.47 from both sides. Anything subtracted from zero gives its negation.

$$-0.3x=-1.47$$

Divide both sides by -0.3.

$$x=\frac{-1.47}{-0.3}$$

Expand \frac{-1.47}{-0.3} by multiplying both numerator and the denominator by 100.

$$x=\frac{-147}{-30}$$

Reduce the fraction \frac{-147}{-30} to lowest terms by extracting and canceling out -3.

$$x=\frac{49}{10}$$