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solve. $5g + 2 - g = 22$ $g = 6$ $g = 4$ $g = 5$ $g = 10/3$

Question

solve. $5g + 2 - g = 22$ $g = 6$ $g = 4$ $g = 5$ $g = 10/3$

Explanation:

Step1: Combine like terms

Combine the \(g\)-terms in the equation \(5g + 2 - g = 22\). We have \(5g - g = 4g\), so the equation becomes \(4g + 2 = 22\).

Step2: Subtract 2 from both sides

Subtract 2 from each side of the equation \(4g + 2 = 22\) to isolate the term with \(g\). This gives \(4g + 2 - 2 = 22 - 2\), which simplifies to \(4g = 20\).

Step3: Divide by 4

Divide both sides of the equation \(4g = 20\) by 4 to solve for \(g\). So, \(\frac{4g}{4}=\frac{20}{4}\), which gives \(g = 5\).

Answer:

\(g = 5\) (the option with \(g = 5\))