Question

example 2
solve. show all steps!
3 + 4(x + 6) = 31
3 + 4x + 24 = 31
4x + 27 = 31
-27 -27
4x = 4
4/4 = 4/4
x = 1
step 4: solve the equation
always show all steps!
solving equations. solve the equation. show steps! circle the answer.

1. 5x + 3(x + 4) = 28
2. 4x + 12(x - 3) = 28
3. 2x - 5(x - 9) = 27
4. 4(2y - 1) - 6y = 18

Explanation:

Step1: Expand the equation

$$\begin{align*} 2x-5(x - 9)&=27\\ 2x-5x+45&=27 \end{align*}$$

Step2: Combine like terms

$$\begin{align*} (2x-5x)+45&=27\\ -3x + 45&=27 \end{align*}$$

Step3: Isolate the term with \(x\)

$$\begin{align*} -3x&=27 - 45\\ -3x&=-18 \end{align*}$$

Step4: Solve for \(x\)

$$\begin{align*} x&=\frac{-18}{-3}\\ x&=6 \end{align*}$$

Answer:

\(x = 6\)