Question

what is the solution to this equation? you can choose to show your work below or solve on paper. 5(x + 2) = 2x + 19 x = \boxed{}

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(5(x + 2)\) to get \(5x+10\). So the equation becomes \(5x + 10=2x+19\).

Step2: Subtract \(2x\) from both sides

Subtract \(2x\) from each side: \(5x - 2x+10=2x - 2x+19\), which simplifies to \(3x+10 = 19\).

Step3: Subtract 10 from both sides

Subtract 10 from each side: \(3x+10 - 10=19 - 10\), so \(3x=9\).

Step4: Divide both sides by 3

Divide both sides by 3: \(\frac{3x}{3}=\frac{9}{3}\), which gives \(x = 3\).

Answer:

\(3\)