Solve 2x-5*34/35=8

$$2 x - 5 \times \frac { 34 } { 35 } = 8$$

Solve for x

$$x = \frac{45}{7} = 6\frac{3}{7} \approx 6.428571429$$

Steps for Solving Linear Equation

Express 5\times \frac{34}{35} as a single fraction.

$$2x-\frac{5\times 34}{35}=8$$

Multiply 5 and 34 to get 170.

$$2x-\frac{170}{35}=8$$

Reduce the fraction \frac{170}{35} to lowest terms by extracting and canceling out 5.

$$2x-\frac{34}{7}=8$$

Add \frac{34}{7} to both sides.

$$2x=8+\frac{34}{7}$$

Convert 8 to fraction \frac{56}{7}.

$$2x=\frac{56}{7}+\frac{34}{7}$$

Since \frac{56}{7} and \frac{34}{7} have the same denominator, add them by adding their numerators.

$$2x=\frac{56+34}{7}$$

Add 56 and 34 to get 90.

$$2x=\frac{90}{7}$$

Divide both sides by 2.

$$x=\frac{\frac{90}{7}}{2}$$

Express \frac{\frac{90}{7}}{2} as a single fraction.

$$x=\frac{90}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$x=\frac{90}{14}$$

Reduce the fraction \frac{90}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{45}{7}$$