# How do you solve 5x - 7= 4x + 3?

Sep 10, 2016

## x=10

#### Explanation:

$5 x - 7 = 4 x + 3$
to make the variable positive, we shifted the smaller variable value to another side. the negative value of constant does not matter.
$5 x - 4 x = 3 + 7$
$x = 10$
to verify whether the value of $x = 10$ is correct or not, we put the value of $x$ into its position in the equation. remember that numbers are not shifted in the verification step.
$5 \left(10\right) - 7 = 4 \left(10\right) + 3$
$50 - 7 = 40 + 3$
$43 = 43$