Jill solves the equation 3(x−5)+2x=0
. Fill in the blanks with the correct values:
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.
To solve the equation 3(x−5)+2x=0, we will follow the steps below:
Step 1: Distribute 3 to the terms inside the parentheses.
=> 3x - 15 + 2x = 0
Step 2: Combine like terms.
=> 5x - 15 = 0
Step 3: Add 15 to both sides of the equation to isolate the variable term.
=> 5x - 15 + 15 = 0 + 15
=> 5x = 15
Step 4: Divide both sides of the equation by 5 to solve for x.
=> (5x)/5 = 15/5
=> x = 3
So, the value of x is 3.