Solve 1.463=.087*(x-22.3)

$$1.463=.087 \times (x-22.3)$$

Solve for x

$$x = \frac{34031}{870} = 39\frac{101}{870} \approx 39.116091954$$

Steps for Solving Linear Equation

Divide both sides by 0.087.

$$\frac{1.463}{0.087}=x-22.3$$

Expand \frac{1.463}{0.087} by multiplying both numerator and the denominator by 1000.

$$\frac{1463}{87}=x-22.3$$

Swap sides so that all variable terms are on the left hand side.

$$x-22.3=\frac{1463}{87}$$

Add 22.3 to both sides.

$$x=\frac{1463}{87}+22.3$$

Convert decimal number 22.3 to fraction \frac{223}{10}.

$$x=\frac{1463}{87}+\frac{223}{10}$$

Least common multiple of 87 and 10 is 870. Convert \frac{1463}{87} and \frac{223}{10} to fractions with denominator 870.

$$x=\frac{14630}{870}+\frac{19401}{870}$$

Since \frac{14630}{870} and \frac{19401}{870} have the same denominator, add them by adding their numerators.

$$x=\frac{14630+19401}{870}$$

Add 14630 and 19401 to get 34031.

$$x=\frac{34031}{870}$$