Solve 0.092*0.5-3x/8=0.02*0.1

$$\frac{ 0.092 \cdot 0.5-3x }{ 8 } = 0.02 \times 0.1$$

Solve for x

$$x=0.01$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8.

$$0.092\times 0.5-3x=0.16\times 0.1$$

Multiply 0.092 and 0.5 to get 0.046.

$$0.046-3x=0.16\times 0.1$$

Multiply 0.16 and 0.1 to get 0.016.

$$0.046-3x=0.016$$

Subtract 0.046 from both sides.

$$-3x=0.016-0.046$$

Subtract 0.046 from 0.016 to get -0.03.

$$-3x=-0.03$$

Divide both sides by -3.

$$x=\frac{-0.03}{-3}$$

Expand \frac{-0.03}{-3} by multiplying both numerator and the denominator by 100.

$$x=\frac{-3}{-300}$$

Reduce the fraction \frac{-3}{-300} to lowest terms by extracting and canceling out -3.

$$x=\frac{1}{100}$$