Solve the equation. Check your answer.
5x-4(x+9)=2x-3
can anyone help me how to do this plz ;-; sorry
Don't be sorry. We're here to help students. :-)
5x-4(x+9)=2x-3
5x - 4x - 36 = 2x - 3
x = 2x + 33
-x = 33
x = -33
wait, how did you get 36? ^^;
4 * 9 = 36
oh ok now I see thank you so much Ms.Sue :D
You're very welcome, Leo. :-)
Sure, I'd be happy to help you solve the equation!
To solve the equation 5x - 4(x + 9) = 2x - 3, we can follow a systematic process called the distributive property and combine like terms.
Step 1: Use the distributive property to simplify the equation:
Distribute -4 to the terms inside the parentheses:
5x - 4x - 36 = 2x - 3
Step 2: Combine like terms on both sides of the equation:
(5x - 4x) - 36 = 2x - 3
x - 36 = 2x - 3
Step 3: Isolate the variable on one side of the equation.
To do this, we can move all the terms containing x to one side and the constant terms to the other side. Let's move 2x to the left side:
x - 2x - 36 = -3
Step 4: Simplify the equation by combining like terms:
-x - 36 = -3
Step 5: Now, isolate the variable x by moving the constant term to the other side. We do this by adding 36 to both sides of the equation:
-x - 36 + 36 = -3 + 36
-x = 33
Step 6: Finally, solve for x by multiplying both sides of the equation by -1 (to isolate x):
-x * (-1) = 33 * (-1)
x = -33
So, the solution to the equation 5x - 4(x + 9) = 2x - 3 is x = -33.
To check the answer, substitute the value of x back into the original equation and evaluate if both sides are equal:
5(-33) - 4(-33 + 9) = 2(-33) - 3
-165 - 4(-24) = -66 - 3
-165 + 96 = -69
-69 = -69
Both sides of the equation are equal, so the solution x = -33 is correct.