# How do you solve 4x-10=-22?

Jan 29, 2017

$\textcolor{b l u e}{x = - 3}$

#### Explanation:

4x−10=−22

The unknown variable is $x$,

To solve for the value of $x$, we need to do the Golden Rule of Algebra, isolation of the unknown variables by balancing all the side of the equations.

We must isolate $x$ from other terms, like $- 10$
to eliminate $- 10$, we must add $+ 10$ on both sides,

4x−10 +10=−22 + 10

then we get,

$4 x = - 12$

since, we only need the value of $x$, we need to transpose the $4$ in $4 x$, by dividing both side of the equation by $4$,

$\frac{4 x}{4} = \frac{- 12}{4}$

$\frac{\cancel{\left(4\right) x}}{\cancel{4}} = \frac{- 12}{4}$

we get, $x = \frac{- 12}{4}$

$\textcolor{b l u e}{x = - 3}$