Question

solve for s.
7s + 2(4s - 10) = 10
s =

Explanation:

Step1: Expand the brackets

Using the distributive property \(a(b + c)=ab+ac\), we expand \(2(4s - 10)\) to get \(8s-20\). So the equation becomes \(7s + 8s-20=10\).

Step2: Combine like terms

Combine \(7s\) and \(8s\) to get \(15s\). The equation is now \(15s-20 = 10\).

Step3: Add 20 to both sides

Add 20 to each side of the equation: \(15s-20 + 20=10 + 20\), which simplifies to \(15s=30\).

Step4: Divide by 15

Divide both sides by 15: \(\frac{15s}{15}=\frac{30}{15}\), so \(s = 2\).

Answer:

\(s = 2\)