Solve 0.4x-0.975/4=1/2

$$0.4 x - \frac { 0.975 } { 4 } = \frac { 1 } { 2 }$$

Solve for x

$$x=1.859375$$

Steps for Solving Linear Equation

Expand \frac{0.975}{4} by multiplying both numerator and the denominator by 1000.

$$0.4x-\frac{975}{4000}=\frac{1}{2}$$

Reduce the fraction \frac{975}{4000} to lowest terms by extracting and canceling out 25.

$$0.4x-\frac{39}{160}=\frac{1}{2}$$

Add \frac{39}{160} to both sides.

$$0.4x=\frac{1}{2}+\frac{39}{160}$$

Least common multiple of 2 and 160 is 160. Convert \frac{1}{2} and \frac{39}{160} to fractions with denominator 160.

$$0.4x=\frac{80}{160}+\frac{39}{160}$$

Since \frac{80}{160} and \frac{39}{160} have the same denominator, add them by adding their numerators.

$$0.4x=\frac{80+39}{160}$$

Add 80 and 39 to get 119.

$$0.4x=\frac{119}{160}$$

Divide both sides by 0.4.

$$x=\frac{\frac{119}{160}}{0.4}$$

Express \frac{\frac{119}{160}}{0.4} as a single fraction.

$$x=\frac{119}{160\times 0.4}$$

Multiply 160 and 0.4 to get 64.

$$x=\frac{119}{64}$$