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#
Solve the given equation for \(x\)=

\(−5x + 17 = 112\)

### Related Information

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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