Solve x=3/7+2/5+72

$$x = \frac { 3 } { 7 } + \frac { 2 } { 5 } + 72$$

Solve for x

$$x = \frac{2549}{35} = 72\frac{29}{35} \approx 72.828571429$$

Steps for Solving Linear Equation

Least common multiple of 7 and 5 is 35. Convert \frac{3}{7} and \frac{2}{5} to fractions with denominator 35.

$$x=\frac{15}{35}+\frac{14}{35}+72$$

Since \frac{15}{35} and \frac{14}{35} have the same denominator, add them by adding their numerators.

$$x=\frac{15+14}{35}+72$$

Add 15 and 14 to get 29.

$$x=\frac{29}{35}+72$$

Convert 72 to fraction \frac{2520}{35}.

$$x=\frac{29}{35}+\frac{2520}{35}$$

Since \frac{29}{35} and \frac{2520}{35} have the same denominator, add them by adding their numerators.

$$x=\frac{29+2520}{35}$$

Add 29 and 2520 to get 2549.

$$x=\frac{2549}{35}$$

Assign x

$$x≔\frac{2549}{35}$$