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

$$0.1 \times x-0.15 \times 9.8+0.15 \times x=0.5 \times 0.1 \times x$$

Solve for x

$$x=7.35$$

Steps for Solving Linear Equation

Multiply 0.15 and 9.8 to get 1.47.

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

Combine 0.1x and 0.15x to get 0.25x.

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

Multiply 0.5 and 0.1 to get 0.05.

$$0.25x-1.47=0.05x$$

Subtract 0.05x from both sides.

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

Combine 0.25x and -0.05x to get 0.2x.

$$0.2x-1.47=0$$

Add 1.47 to both sides. Anything plus zero gives itself.

$$0.2x=1.47$$

Divide both sides by 0.2.

$$x=\frac{1.47}{0.2}$$

Expand \frac{1.47}{0.2} by multiplying both numerator and the denominator by 100.

$$x=\frac{147}{20}$$