Question

-8(x+1)+2x=-32. Can I please get help?
a. x = 4
b. x = -4
c. x = 2
d. x = -2

Answer 1

By distributing -8 and combining like terms, we simplify the given linear equation to solve for x. After adding and dividing appropriate values, we arrive at the solution x = 4.

Step-by-step explanation:

To solve the equation -8(x+1)+2x=-32, we first distribute the -8 through the parentheses and then combine like terms:

• -8(x+1) becomes -8x - 8.
• So the equation now looks like -8x - 8 + 2x = -32.
• Combine like terms to get -6x - 8 = -32.
• Add 8 to both sides to get -6x = -24.
• Divide both sides by -6 to isolate x, resulting in x = 4.

Therefore, the solution to the equation is x = 4, option (a).