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QuestionSolve for xx in the equation 14x+4=−7\frac{1}{4} x + 4 = -7.

Studdy Solution

STEP 1

Assumptions1. The equation is 14x+4=−7\frac{1}{4}x +4 = -7 . We are solving for xx

STEP 2

We need to isolate xx on one side of the equation. First, we'll subtract 44 from both sides of the equation.
14x+4−4=−7−4\frac{1}{4}x +4 -4 = -7 -4

STEP 3

implify the equation.
1x=−7−\frac{1}{}x = -7 -

STEP 4

Calculate the right side of the equation.
14x=−11\frac{1}{4}x = -11

STEP 5

To solve for xx, we'll multiply both sides of the equation by 44.
4⋅14x=4⋅−114 \cdot \frac{1}{4}x =4 \cdot -11

STEP 6

implify the equation.
x=4⋅−11x =4 \cdot -11

STEP 7

Calculate the value of xx.
x=−44x = -44So, the solution is x=−44x = -44.

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