Solve 7/4+9/10=5x+3

$$\frac{ 7 }{ 4 } + \frac{ 9 }{ 10 } = 5x+3$$

Solve for x

$$x=-\frac{7}{100}=-0.07$$

Steps for Solving Linear Equation

Least common multiple of 4 and 10 is 20. Convert \frac{7}{4} and \frac{9}{10} to fractions with denominator 20.

$$\frac{35}{20}+\frac{18}{20}=5x+3$$

Since \frac{35}{20} and \frac{18}{20} have the same denominator, add them by adding their numerators.

$$\frac{35+18}{20}=5x+3$$

Add 35 and 18 to get 53.

$$\frac{53}{20}=5x+3$$

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

$$5x+3=\frac{53}{20}$$

Subtract 3 from both sides.

$$5x=\frac{53}{20}-3$$

Convert 3 to fraction \frac{60}{20}.

$$5x=\frac{53}{20}-\frac{60}{20}$$

Since \frac{53}{20} and \frac{60}{20} have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{53-60}{20}$$

Subtract 60 from 53 to get -7.

$$5x=-\frac{7}{20}$$

Divide both sides by 5.

$$x=\frac{-\frac{7}{20}}{5}$$

Express \frac{-\frac{7}{20}}{5} as a single fraction.

$$x=\frac{-7}{20\times 5}$$

Multiply 20 and 5 to get 100.

$$x=\frac{-7}{100}$$

Fraction \frac{-7}{100} can be rewritten as -\frac{7}{100} by extracting the negative sign.

$$x=-\frac{7}{100}$$