Solve 2left(0.09x-0.1right)=0.08+0.3

$$2 \left( 0.09x-0.1 \right) = 0.08+0.3$$

Solve for x

$$x = \frac{29}{9} = 3\frac{2}{9} \approx 3.222222222$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 0.09x-0.1.

$$0.18x-0.2=0.08+0.3$$

Add 0.08 and 0.3 to get 0.38.

$$0.18x-0.2=0.38$$

Add 0.2 to both sides.

$$0.18x=0.38+0.2$$

Add 0.38 and 0.2 to get 0.58.

$$0.18x=0.58$$

Divide both sides by 0.18.

$$x=\frac{0.58}{0.18}$$

Expand \frac{0.58}{0.18} by multiplying both numerator and the denominator by 100.

$$x=\frac{58}{18}$$

Reduce the fraction \frac{58}{18} to lowest terms by extracting and canceling out 2.

$$x=\frac{29}{9}$$