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Sagot :
Given the following equation:
[tex]-5\mleft(-x-4\mright)-3x-5=13[/tex]You can solve for the variable "x" by following the steps shown below:
Step 1. Apply the Distributive property by multiplying eact term inside the parentheses by -5:
[tex]\begin{gathered} (-5)(-x)-(-5)(4)-3x-5=13 \\ 5x+20-3x-5=13 \end{gathered}[/tex]Step 2. Add the like terms on the left side of the equation:
[tex]2x+15=13[/tex]Step 3. Apply the Substraction property of equality by subtracting 15 from both sides of the equation:
[tex]\begin{gathered} 2x+15-(15)=13-(15) \\ 2x=-2 \end{gathered}[/tex]Step 4. Finally, apply the Division property of equality by dividing both sides of the equation by 2:
[tex]\begin{gathered} \frac{2x}{2}=\frac{-2}{2} \\ \\ x=-1 \end{gathered}[/tex]The answer is:
[tex]x=-1[/tex]Did you understand?
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