the points K and M are points of tangency. Find the value of x. 4x+7=7x-8
no diagram. Tangency to what?
however, if 4x+7 = 7x-8, then x=5
To find the value of x, we will solve the equation step-by-step.
Given equation: 4x + 7 = 7x - 8
Step 1: Simplify the equation by combining like terms:
- Subtract 4x from both sides of the equation:
4x - 4x + 7 = 7x - 4x - 8
7 = 3x - 8
Step 2: Isolate the variable term by moving the constant term to the other side of the equation:
- Add 8 to both sides of the equation:
7 + 8 = 3x - 8 + 8
15 = 3x
Step 3: Solve for x by dividing both sides of the equation by 3:
- Divide both sides by 3:
15/3 = 3x/3
5 = x
Therefore, the value of x is 5.
To find the value of x in the equation 4x + 7 = 7x - 8, we need to solve for x.
First, we can simplify the equation by combining like terms.
4x + 7 = 7x - 8
Next, we can move all the x terms to one side of the equation by subtracting 4x from both sides.
4x - 4x + 7 = 7x - 4x - 8
This simplifies to:
7 = 3x - 8
Now, we want to isolate the variable x. To do this, we can add 8 to both sides of the equation.
7 + 8 = 3x - 8 + 8
This simplifies to:
15 = 3x
Finally, to solve for x, we divide both sides of the equation by 3.
15/3 = 3x/3
This simplifies to:
5 = x
Therefore, the value of x is 5.