Question 1.
Given the equation:
![-7x-3x+2=-8x-8](https://img.qammunity.org/2023/formulas/mathematics/college/j7b5ui3qj2319dkwyp377f4uwz0gjrmsq7.png)
Let's solve the equation for x.
To solve for x, take the following steps:
Step 1.
Combine like terms on the left side:
![-10x+2=-8x-8](https://img.qammunity.org/2023/formulas/mathematics/college/f1lbxe1gdi22hp93j3uvz65psdux9p53qq.png)
Step 2.
Subtract 2 from both sides
![\begin{gathered} -10x+2-2=-8x-8-2 \\ \\ -10x=-8x-10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6t36b8zfjqv2g69qcz8boi4jg9uey9sgy6.png)
Step 3.
Add 8x to both sides
![\begin{gathered} -10x+8x=-8x+8x-10 \\ \\ -2x=10 \\ \\ -2x=-10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7tjankqotg4fdlmygfm80sooabdrxd2yj5.png)
Step 4.
Divide both sides by -2
![\begin{gathered} (-2x)/(-2)=(-10)/(-2) \\ \\ x=5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9xcdr5duh718ch2ejxpp19fagiew6i1qil.png)
ANSWER:
x = 5