# How do you solve 1/5 ( 10x - 15 ) = 6 ( 1/3x - 1/2 ) + 10?

May 9, 2018

No solution.

#### Explanation:

$\frac{1}{5} \left(10 x - 15\right) = 6 \left(\frac{1}{3} x - \frac{1}{2}\right) + 10$

$\frac{1}{5} \times 10 x - \frac{1}{5} \times \left(- 15\right) = 6 \times \frac{1}{3} x - 6 \times \frac{1}{2} + 10$

$2 x + 3 = 2 x - 3 + 10$

$2 x - 2 x = - 3 + 10 - 3$

$0 \ne 4 \to$ no solution