The value of x that satisfies the equation is approximately 9.71.
To solve for x in the given equation:
10x - 72 = 3x - 4
We want to isolate x on one side of the equation. To do this, we can start by simplifying both sides of the equation.
On the left side, we can combine the terms with x by subtracting 3x from both sides:
10x - 3x - 72 = 3x - 3x - 4
Simplifying further, we have:
7x - 72 = -4
Next, we want to isolate the x term, so we can start by adding 72 to both sides of the equation:
7x - 72 + 72 = -4 + 72
Simplifying:
7x = 68
Finally, to solve for x, we divide both sides of the equation by 7:
=
This simplifies to:
x = 9.71 (rounded to two decimal places).