Math

Question Solve for xx in the equation 0.4(x7)=180.4(x-7)=18.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 0.4(x7)=180.4(x-7)=18 . We are solving for the variable xx

STEP 2

First, we need to isolate the term with xx on one side of the equation. We can do this by dividing both sides of the equation by 0.40.4.
0.4(x7)0.4=180.4\frac{0.4(x-7)}{0.4} = \frac{18}{0.4}

STEP 3

implify the equation.
(x7)=180.(x-7) = \frac{18}{0.}

STEP 4

Calculate the right side of the equation.
(x7)=45(x-7) =45

STEP 5

Now, we need to isolate xx by adding 77 to both sides of the equation.
x7+7=45+7x-7+7 =45+7

STEP 6

implify the equation.
x=52x =52So, the solution to the equation 0.4(x)=180.4(x-)=18 is x=52x=52.

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