# How do you solve -10(x+5)+76= -12?

Apr 19, 2016

$x = 3.8$

#### Explanation:

Multiplying out the brackets gives:

Don't forget you are multiplying by negative 10.

$- 10 x - 50 + 76 = - 12$

$- 10 x + 26 = - 12$

Subtract $\textcolor{b l u e}{26}$ from both sides

$\textcolor{b r o w n}{- 10 x + 26 \textcolor{b l u e}{- 26} = - 12 \textcolor{b l u e}{- 26}}$

$- 10 x + 0 = - 38$

Multiply both side by (-1) giving

$10 x = 38$

Divide both sides by 10

$\frac{10}{10} \times x = \frac{38}{10}$

But $\frac{10}{10} = 1$

$1 \times x = 3.8$

$x = 3.8$

'~~~~~~~~~ Check ~~~~~~~~~~~~~~~~
$\textcolor{b r o w n}{- 10 \left(\textcolor{b l u e}{x} + 5\right) + 76 = - 12 \to - 10 \left(\textcolor{b l u e}{3.8} + 5\right) + 76 = - 12}$

Consider the left hand side only

$- 38 - 50 + 76 \to - 12$

$\implies L H S = R H S \text{ "-> x=3.8" confirmed}$

Apr 19, 2016

RESULT: 3.8
Maybe this one will be a little bit easier on the steps.

#### Explanation:

$- 10 \left(x + 5\right) + 76 = - 12$

Get rid of brackets by multiplying the coefficient with the digits in the brackets.

$- 10 x - 50 + 76 = - 12$
$- 10 x + 26 = - 12$

Unknowns: one side, knowns: another.

$- 10 x = - 12 - 26$
$- 10 x = - 38$
Since the both sides are negative, let's multiply them by $\left(- 1\right)$ to get rid of a negative sign.

$- 10 x = - 38 | \left(- 1\right)$
$10 x = 38$

Now, do just a division:
$x = \frac{38}{10}$
$x = 3.8$