Math

QuestionSolve for xx in the equation 25x7=10\frac{2}{5} x - 7 = 10.

Studdy Solution

STEP 1

Assumptions1. The equation is 5x7=10\frac{}{5} x -7 =10 . We are solving for xx

STEP 2

First, we need to isolate the term with xx on one side of the equation. We can do this by adding 77 to both sides of the equation.
25x7+7=10+7\frac{2}{5} x -7 +7 =10 +7

STEP 3

implify the equation.
25x=17\frac{2}{5} x =17

STEP 4

Now, we need to solve for xx. We can do this by multiplying both sides of the equation by the reciprocal of 2\frac{2}{}, which is 2\frac{}{2}.
22x=217\frac{}{2} \cdot \frac{2}{} x = \frac{}{2} \cdot17

STEP 5

implify the equation to find the value of xx.
x=5217x = \frac{5}{2} \cdot17

STEP 6

Calculate the value of xx.
x=5217=42.5x = \frac{5}{2} \cdot17 =42.5The solution to the equation is x=42.5x =42.5.

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