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QuestionSolve the equation: 2x+46−2=4\frac{2 x+4}{6}-2=4.

Studdy Solution

STEP 1

Assumptions1. The given equation is x+46−=4\frac{x+4}{6}-=4 . We need to solve for xx

STEP 2

First, we need to isolate the fraction on one side of the equation. We can do this by adding2 to both sides of the equation.
2x+46−2+2=4+2\frac{2x+4}{6}-2+2=4+2

STEP 3

implify both sides of the equation.
2x+6=6\frac{2x+}{6}=6

STEP 4

Next, to get rid of the fraction, we can multiply both sides of the equation by6.
6×2x+46=6×66 \times \frac{2x+4}{6}=6 \times6

STEP 5

implify both sides of the equation.
2x+4=362x+4=36

STEP 6

Now, we need to isolate xx on one side of the equation. We can do this by subtracting4 from both sides of the equation.
2x+4−4=36−42x+4-4=36-4

STEP 7

implify both sides of the equation.
2x=322x=32

STEP 8

Finally, to solve for xx, we can divide both sides of the equation by2.
2x2=322\frac{2x}{2}=\frac{32}{2}

STEP 9

implify both sides of the equation.
x=16x=16So, the solution to the equation is x=16x=16.

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