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#
Solve the given equation for x=

−5x + 17 = 112

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Question:

`_________`

.
−5x + 17 = 112

A
x = −19.

explanation

On the left, an order of operations demands that we first multiply x by −5, then add 17. To solve this equation for x, we must “undo” each of these operations in an inverse order. Thus, we will first subtract 17 from both sides of the equation, then divide both sides of the resulting equation by −5.

Original equation.

−5x + 17 = 112

To “undo” adding 17, subtract 17 from both sides of the equation.

−5x+ 17 − 17 = 112 − 17

Simplify both sides.

−5x = 95

To “undo” multiplying by −5, divide both sides of the equation by −5.

\( \frac{\mathrm{-5x} }{\mathrm{5}} = \frac{\mathrm{95} }{\mathrm{-5}}\)

Simplify both sides.

x = −19

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