# How do you solve 1.69x+14.75=4.21x-5.87?

Mar 16, 2016

$x \approx 8.18$

#### Explanation:

$1.69 x + 14.75 = 4.21 x - 5.87$

Subtract $14.75$ from both sides of the equation.

$1.69 x = 4.21 x - 5.87 - 14.75$

Simplify.

$1.69 x = 4.21 x - 20.62$

Subtract $4.21 x$ from both sides.

$1.69 x - 4.21 x = - 20.62$

Simplify.

$- 2.52 x = - 20.62$

Divide both sides by $- 2.52$.

$x = \frac{- 20.62}{- 2.52}$

Simplify.

$x \approx 8.18$