Question

linear equations w/ distribution (lev 2)
question
examples
solve for x.
5(-2x + 3) + 3x + 4 = -23
answer
attempt 1 out of 2
x =
submit answer

Explanation:

Step1: Expand the brackets

$$\begin{align*} 5(-2x + 3)+3x + 4&=-23\\ -10x+15 + 3x+4&=-23 \end{align*}$$

Step2: Combine like - terms

$$\begin{align*} (-10x + 3x)+(15 + 4)&=-23\\ -7x+19&=-23 \end{align*}$$

Step3: Isolate the term with \(x\)

Subtract \(19\) from both sides:

$$\begin{align*} -7x+19-19&=-23 - 19\\ -7x&=-42 \end{align*}$$

Step4: Solve for \(x\)

Divide both sides by \(-7\):
$$x=\frac{-42}{-7}=6$$

Answer:

\(x = 6\)