Question

Solve for x 3(-x-3)+x-3=26

Answer 1

Answer:

$\boxed {x = -19}$

Step-by-step explanation:

Solve for the value of $x$:

$3(-x - 3) + x - 3 = 26$

-Use Distributive Property:

$3(-x - 3) + x - 3 = 26$

$3(-x ) - 9 + x - 3 = 26$

-Combine both $-9$ and $3$:

$3(-x ) - 9 + x - 3 = 26$

$3(-x ) - 12 + x = 26$

-Add $12$ to both sides:

$3(-x ) - 12 + 12 + x = 26 + 12$

$3(-x) + x = 38$

-Multiply the $-1$ by $3$:

$3(-x) + x = 38$

$-3x + x = 38$

-Combine both the $-3x$ and $x$:

$-3x + x = 38$

$-2x = 38$

-Divide both sides by $-2$:

$\frac{-2x}{-2} = \frac{38}{-2}$

$\boxed {x = -19}$

Therefore, the value of $x$ is $-19$.

Answer 2

 $\bold{Hello!}\\\bold{Your~Answer~Is~Below!}$

______________________________

 $\bold{Solution~Steps:}$

When we have a problem with parenthesis we must use distributive property:

• $3$ × $-x-3$

• The $3$ cancels out, leaving $-x$

         * $3(-x)-9+x-3=26$

Subtract $3$ from $-9$:

• $3-(-9)=-12$

         * $3(-x)-12+x=26$

Add $12$ to both sides:

• Since $-12$ is negative we do the opposite of what we see, so it cancels out.  

• $-12+12=$ Cancels out

• $26+12=38$

         * $3(-x)+x=38$

Multiply $3$ and $-1$:

• In this case we have $2$ x's, so we need to get rid of one. We do this by turning $(-x)$ into $-1$.

• Then we multiply them together: $3$ × $-1=-3$

         * $-3x+x=38$

Combine like terms:

• $-3x+x=-2x$

         * $-2x=38$

Divide to get $x$ alone:

• Divide by $-2$ on each side by rule of opposites: $-2x$ ÷ $-2=x$

• $38$ ÷ $-2=-19$

        $\boxed{x=-19}$

______________________________

 $\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}$