21 + 7x - 4 = 4 + 17x - 24, what is x
21 + 7x - 4 = 4 + 17x - 24, what is x
combine terms
17 + 7x = -20 +17x
subtract 17 from both sides.
17 -17 + 7x = -20 -17 +17x
0 + 7x = -37 + 17x
subtract 17x from both sides.
7x -17x = -37 + 17x - 17x
-10x = -37
multiply both sides by -1
10x = 37
divide both sides by 10
10x/10 = 37/10 = 3.7
Check my work.
To find the value of x in the equation 21 + 7x - 4 = 4 + 17x - 24, we need to simplify and solve for x.
First, we can combine like terms on both sides of the equation. Let's start by combining the constants on the left side and the right side separately:
On the left side:
21 - 4 = 17.
On the right side:
4 - 24 = -20.
Now, let's rewrite the equation with the simplified expression:
17 + 7x = -20 + 17x.
Next, we want to isolate the x term on one side of the equation. We can do this by subtracting 17x from both sides of the equation:
17 + 7x - 17x = -20 + 17x - 17x.
Simplifying this further:
17 + (7x - 17x) = -20.
Combine the x terms:
17 - 10x = -20.
To isolate x, we can now subtract 17 from both sides:
17 - 10x - 17 = -20 - 17.
Simplifying:
-10x = -37.
Lastly, divide both sides of the equation by -10:
(-10x) / -10 = (-37) / -10.
This gives us:
x = 3.7
Hence, the value of x in the given equation is 3.7.