9(x-5)=4x-5
solve for x.
please help me with this one and show the work so i can understand
divide both sides of equation by 9
x-5=4x-5
or
4x-5=x-5
add 5 and -x on both sides
4x-5-x+5=x-5-x+5
3x=0
divide both sides by 3
3x/3=0/3
x=0
The instructions were correct, but the execution went awry:
divide both sides by 9
x-5 = (4x-5)/9 = 4x/9 - 5/9
add 5 - 4x/9 to both sides
x - 4x/9 = 5 - 5/9
5x/9 = 40/9
x = 8
final step -- check your answer:
x=0 does not work.
9(8-5) = 27 = 32-5
if i may say it would probably be easier and less complicated if you had follow PEMDAS instruction which tells you to take the equation on the left 9(x-5) and multiply it out first instead of dividing the two equation by 9. that way you get 9x-45=4x-5, subtract 4x from both side so you get 5x-45=-5 and then add 45 to both side to get 9x=40 and then divide by 9 so that you get x on it own to get 40/9 and you messed up the math a little near the endx-4x/9 wouldnt have given you 5x/9
To solve the equation 9(x-5) = 4x - 5 for x, we need to simplify and isolate the variable on one side of the equation. Let's follow the step-by-step approach:
Step 1: Distribute the 9 to the terms inside the parentheses:
9 * x = 9 * 5 and 9 * -5 = -45. The equation becomes:
9x - 45 = 4x - 5.
Step 2: Now, let's gather all the x terms on one side of the equation by subtracting 4x from both sides:
9x - 4x - 45 = 4x - 4x - 5.
This simplifies to:
5x - 45 = -5.
Step 3: Next, add 45 to both sides of the equation to isolate the term with x:
5x - 45 + 45 = -5 + 45.
This simplifies to:
5x = 40.
Step 4: Finally, divide both sides of the equation by 5 to solve for x:
(5x) / 5 = 40 / 5.
This simplifies to:
x = 8.
Therefore, the solution to the equation 9(x-5) = 4x - 5 is x = 8.