# How do you solve 5/7=(x-2)/4?

May 12, 2018

try to get rid of the fractions; Solve equation

#### Explanation:

multiply on both sides with your denominators (4 and 7)

$\frac{5}{7} = \frac{x - 2}{4}$ |*4

$\frac{5 \cdot 4}{7} = \left(x - 2\right)$ |*7

$\left(5 \cdot 4\right) = \left(x - 2\right) \cdot 7$

$20 = 7 x - 14$

solve the equation by moving the x-parts to on side and the normal numbers to the other (always move by using the opposite compute-sign)

$20 = 7 x - 14$ |+14

$20 + 14 = 7 x$

$34 = 7 x$ |:7

$\frac{34}{7} = x$

$x = 4 \frac{6}{7}$