# How do you solve for x in 4y + 3x = 5?

Feb 20, 2016

$x = \frac{5 - 4 y}{3}$

#### Explanation:

When solving for a variable, we need to isolate it using operands.

Initial equation:
$\setminus q \quad 4 y + 3 x = 5$

Subtract $4 y$ on both sides
$\setminus q \quad 3 x + 4 y - 4 y = 5 - 4 y$
$\setminus q \quad 3 x = 5 - 4 y$

Divide (everything) by 3:
$\setminus q \quad x = \frac{5 - 4 y}{3}$