Solve (3/4+1/5)+35=x

$$( \frac { 3 } { 4 } + \frac { 1 } { 5 } ) + 35 = x$$

Solve for x

$$x = \frac{719}{20} = 35\frac{19}{20} = 35.95$$

Steps for Solving Linear Equation

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{15}{20}+\frac{4}{20}+35=x$$

Since \frac{15}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{20}+35=x$$

Add 15 and 4 to get 19.

$$\frac{19}{20}+35=x$$

Convert 35 to fraction \frac{700}{20}.

$$\frac{19}{20}+\frac{700}{20}=x$$

Since \frac{19}{20} and \frac{700}{20} have the same denominator, add them by adding their numerators.

$$\frac{19+700}{20}=x$$

Add 19 and 700 to get 719.

$$\frac{719}{20}=x$$

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

$$x=\frac{719}{20}$$