# How do you solve 17x - 8= 3x + 16?

Apr 15, 2017

$x = 1 \frac{5}{7}$

#### Explanation:

Given: $17 x - 8 = 3 x + 16$

Move all the unknowns to one side:

$17 x - 8 = 3 x + 16$

$17 x - 3 x = 8 + 16$

$14 x = 24$

$x = \frac{24}{14} = \frac{12}{7} = 1 \frac{5}{7}$

To check, refill the answer into the $g i v e n$ equation:

$17 \left(\frac{12}{7}\right) - 8 = 3 \left(\frac{12}{7}\right) + 16$

Multiply both sides by $7$

$17 \left(12\right) - 8 \left(7\right) = 3 \left(12\right) + 16 \left(7\right)$

$204 - 56 = 36 + 112$

$148 = 148$