Question

question 17 of 40
solve: $2x - 3 = 5(x + 6)$

a. $x = -11$
b. $x = \frac{33}{7}$
c. $x = -3$
d. $x = -9$

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(5(x + 6)\) to get \(5x+30\). So the equation becomes \(2x - 3=5x + 30\).

Step2: Move all x terms to one side

Subtract \(2x\) from both sides: \(2x-3 - 2x=5x + 30-2x\), which simplifies to \(-3 = 3x+30\).

Step3: Isolate the constant term

Subtract \(30\) from both sides: \(-3-30=3x + 30-30\), so \(-33 = 3x\).

Step4: Solve for x

Divide both sides by \(3\): \(\frac{-33}{3}=\frac{3x}{3}\), which gives \(x=-11\).

Answer:

A. \(x = -11\)