Solve (61/5+36)+(61/5+85)=7x

$$( \frac { 61 } { 5 } + 36 ) + ( \frac { 61 } { 5 } + 85 ) = 7 x$$

Solve for x

$$x = \frac{727}{35} = 20\frac{27}{35} \approx 20.771428571$$

Steps for Solving Linear Equation

Convert 36 to fraction \frac{180}{5}.

$$\frac{61}{5}+\frac{180}{5}+\frac{61}{5}+85=7x$$

Since \frac{61}{5} and \frac{180}{5} have the same denominator, add them by adding their numerators.

$$\frac{61+180}{5}+\frac{61}{5}+85=7x$$

Add 61 and 180 to get 241.

$$\frac{241}{5}+\frac{61}{5}+85=7x$$

Since \frac{241}{5} and \frac{61}{5} have the same denominator, add them by adding their numerators.

$$\frac{241+61}{5}+85=7x$$

Add 241 and 61 to get 302.

$$\frac{302}{5}+85=7x$$

Convert 85 to fraction \frac{425}{5}.

$$\frac{302}{5}+\frac{425}{5}=7x$$

Since \frac{302}{5} and \frac{425}{5} have the same denominator, add them by adding their numerators.

$$\frac{302+425}{5}=7x$$

Add 302 and 425 to get 727.

$$\frac{727}{5}=7x$$

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

$$7x=\frac{727}{5}$$

Divide both sides by 7.

$$x=\frac{\frac{727}{5}}{7}$$

Express \frac{\frac{727}{5}}{7} as a single fraction.

$$x=\frac{727}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$x=\frac{727}{35}$$