Question

what is the solution to $3x - 2 = -4x - 65$?

a) $x = -9$

b) $x = 9$

c) $x = 7$

d) $x = -7$

Explanation:

Step1: Add 4x to both sides

To isolate the variable terms on one side, we add \(4x\) to both sides of the equation \(3x - 2=-4x - 65\). This gives us \(3x + 4x-2=-4x + 4x-65\), which simplifies to \(7x-2=-65\).

Step2: Add 2 to both sides

Next, we add 2 to both sides to isolate the term with \(x\). So, \(7x-2 + 2=-65 + 2\), which simplifies to \(7x=-63\).

Step3: Divide by 7

Finally, we divide both sides by 7 to solve for \(x\). \(\frac{7x}{7}=\frac{-63}{7}\), so \(x = - 9\).

Answer:

A) \(x=-9\)