Question

Solve the multi-step equation for x: 5(x+2)=x+6+2x.

A. (x = 1)
B. (x = -4)
C. (x = 4)
D. (x = -1)

Answer 1

To solve the multi-step equation 5(x+2)=x+6+2x, we can start by distributing the 5 and then simplify the equation to solve for x.

Step-by-step explanation:

To solve the equation 5(x+2)=x+6+2x, we will start by distributing the 5 to both terms inside the parentheses:

5x + 10 = x + 6 + 2x

Next, combine like terms:

5x + 10 = 3x + 6

Subtract 3x from both sides:

2x + 10 = 6

Subtract 10 from both sides:

2x = -4

Finally, divide by 2 to solve for x:

x = -2

Therefore, the correct answer is (x = -2).