Jill solves the equation 3(x−5)+2x=0

. Fill in the blanks with the correct values:

1 answer

Jill solves the equation 3(x−5)+2x=0.

To solve the equation, Jill needs to distribute the 3 to the terms inside the parentheses:

3(x−5) = 3x - 15

After distributing, the equation becomes:

3x - 15 + 2x = 0

Combining like terms, the equation can be written as:

5x - 15 = 0

To isolate the variable x, Jill needs to move the constant term -15 to the other side of the equation. This can be done by adding 15 to both sides:

5x - 15 + 15 = 0 + 15

Simplifying, the equation becomes:

5x = 15

Finally, Jill can solve for x by dividing both sides by 5:

5x/5 = 15/5

Simplifying further, the equation becomes:

x = 3

Therefore, the value of x is 3.