Solve the equation for the given variable. 0.1(x-3.2)=7.5

Answer 1

To solve the equation, we need to isolate the variable x.

First, let's distribute the 0.1 to both terms inside the parentheses:

0.1(x-3.2) = 7.5
0.1x - 0.1(3.2) = 7.5
0.1x - 0.32 = 7.5

Next, let's add 0.32 to both sides of the equation to eliminate the -0.32 on the left side:

0.1x - 0.32 + 0.32 = 7.5 + 0.32
0.1x = 7.82

To isolate x, we divide both sides of the equation by 0.1:

0.1x/0.1 = 7.82/0.1
x = 78.2

Therefore, the solution to the equation is x = 78.2.