Math

QuestionSolve 9=27x+5-9=\frac{2}{7} x+5 for xx. What is the value of xx?

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 9=7x+5-9=\frac{}{7} x+5 . 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 subtracting5 from both sides of the equation.
95=27x+55-9 -5 = \frac{2}{7} x +5 -5

STEP 3

implify the equation.
14=27x-14 = \frac{2}{7} x

STEP 4

Next, we need to isolate xx on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 27\frac{2}{7}, which is 72\frac{7}{2}.
14×72=27x×72-14 \times \frac{7}{2} = \frac{2}{7} x \times \frac{7}{2}

STEP 5

implify the equation.
49=x-49 = xSo, the solution to the equation 9=27x+5-9=\frac{2}{7} x+5 is x=49x=-49.

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