Which value of x makes the following equation true?
7.8(x - 2) = -0.2x + 40.4
You want to solve for x. Get rid of parenthesis.
7.8x - 15.6 = -.2x + 40.4
Combine like terms by adding .2x and 15.6 to both sides.
8x = 56
Can you take it from here?
To find the value of x that makes the equation true, we need to solve for x by simplifying and rearranging the equation.
Let's start by expanding the expression on the left side of the equation:
7.8(x - 2) = -0.2x + 40.4
7.8x - 15.6 = -0.2x + 40.4
Next, let's group the x terms together on one side:
7.8x + 0.2x = 40.4 + 15.6
Simplifying this equation further:
8x = 56
Finally, let's solve for x by dividing both sides of the equation by 8:
x = 56 / 8
x = 7
Therefore, the value of x that makes the equation true is x = 7.