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(5) -46 = -7 + 3x

Question

(5) -46 = -7 + 3x

Explanation:

Step1: Add 7 to both sides

To isolate the term with \(x\), we add 7 to both sides of the equation \(-46 = -7 + 3x\). This gives us \(-46 + 7 = -7 + 7 + 3x\). Simplifying the left side and the middle terms, we have \(-39 = 3x\).

Step2: Divide both sides by 3

Now, to solve for \(x\), we divide both sides of the equation \(-39 = 3x\) by 3. So, \(\frac{-39}{3}=\frac{3x}{3}\), which simplifies to \(x = -13\).

Answer:

\(x = -13\)