Question

evaluate if x = 3
-3(10x + 10) + 5(x + 2)

Explanation:

Step1: Expand the expressions

First, expand \(-3(10x + 10)\) and \(5(x + 2)\) using the distributive - property \(a(b + c)=ab+ac\).
\(-3(10x + 10)=-3\times10x-3\times10=-30x - 30\)
\(5(x + 2)=5x+5\times2 = 5x + 10\)
The original expression \(-3(10x + 10)+5(x + 2)\) becomes \(-30x-30 + 5x+10\).

Step2: Combine like - terms

Combine the \(x\) terms and the constant terms:
\((-30x+5x)+(-30 + 10)=-25x-20\)

Step3: Substitute \(x = 3\)

Substitute \(x = 3\) into \(-25x-20\):
\(-25\times3-20=-75-20=-95\)

Answer:

\(-95\)