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QuestionSolve for xx in the equation: 2x5+13=37\frac{2 x}{5}+13=37.

Studdy Solution

STEP 1

Assumptions1. The equation is x5+13=37\frac{ x}{5}+13=37 . 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 subtracting13 from both sides of the equation.
2x5+13−13=37−13\frac{2 x}{5}+13-13=37-13

STEP 3

Perform the subtraction on both sides of the equation.
2x5=37−13\frac{2 x}{5}=37-13

STEP 4

Calculate the right side of the equation.
2x=24\frac{2 x}{}=24

STEP 5

Next, we need to isolate xx on one side of the equation. We can do this by multiplying both sides of the equation by5.
5×2x5=5×245 \times \frac{2 x}{5}=5 \times24

STEP 6

Perform the multiplication on both sides of the equation.
2x=5×242x =5 \times24

STEP 7

Calculate the right side of the equation.
2x=1202x =120

STEP 8

Finally, we need to solve for xx. We can do this by dividing both sides of the equation by2.
2x2=1202\frac{2x}{2} = \frac{120}{2}

STEP 9

Perform the division on both sides of the equation.
x=1202x = \frac{120}{2}

STEP 10

Calculate the value of xx.
x=60x =60So, the solution to the equation 2x5+13=37\frac{2 x}{5}+13=37 is x=60x =60.

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