# Is -3 a solution to the equation -4x+5=-7?

##### 2 Answers
Mar 2, 2018

No, but $x = 3$ is a solution.

#### Explanation:

Substitue -3 into the equation, what do you get?

$- 4 \cdot - 3 + 5$ =$12 + 5$ = $17$

Do obviously -3 is not a solution.

Find what is the solution:

Rewrite the equation by transposing the terms:

$- 4 x$= $- 7 - 5$ = $- 12$

Get rid of the minus signs

So $x = 3$

Mar 2, 2018

$\text{No}$

#### Explanation:

$\text{if x = - 3 is a solution then it will satisfy the equation}$

$\text{substitute "x=-3" into the equation}$

$\left(- 4 \times - 3\right) + 5 = 12 + 5 = 17 \ne - 7$

$\Rightarrow x = - 3 \text{ is not a solution}$

$- 4 x + 5 = - 7$

$\text{subtract 5 from both sides}$

$- 4 x \cancel{+ 5} \cancel{- 5} = - 7 - 5$

$\Rightarrow - 4 x = - 12$

$\text{divide both sides by } - 4$

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

$\Rightarrow x = 3$

$\textcolor{b l u e}{\text{Check "(-4xx3)+5=-12+5=-7" True}}$

$\Rightarrow x = 3 \text{ is the solution}$