Question

solving equations
solve for x.
-4(2x + 5) + 3x = -25
x =

Explanation:

Step1: Distribute -4

We first apply the distributive property to \(-4(2x + 5)\). The distributive property states that \(a(b + c)=ab+ac\), so \(-4(2x + 5)=-4\times2x+(-4)\times5=-8x - 20\).
The equation becomes \(-8x - 20+3x=-25\).

Step2: Combine like terms

Combine the \(x\)-terms: \(-8x+3x=-5x\). So the equation is now \(-5x - 20=-25\).

Step3: Add 20 to both sides

To isolate the term with \(x\), we add 20 to both sides of the equation.
\(-5x-20 + 20=-25 + 20\)
Simplifying both sides, we get \(-5x=-5\).

Step4: Divide by -5

Divide both sides of the equation by \(-5\) to solve for \(x\).
\(\frac{-5x}{-5}=\frac{-5}{-5}\)
Simplifying, we find \(x = 1\).

Answer:

\(x = 1\)