Question

what is the value of x in the equation 4x + 1/2(6x + 8) = 5x - 9?

Explanation:

Step1: Expand the left - hand side

$4x+\frac{1}{2}(6x + 8)=4x+3x + 4=7x + 4$

Step2: Rewrite the equation

The original equation $4x+\frac{1}{2}(6x + 8)=5x - 9$ becomes $7x + 4=5x - 9$.

Step3: Move the x - terms to one side

Subtract $5x$ from both sides: $7x-5x + 4=5x-5x - 9$, which simplifies to $2x+4=-9$.

Step4: Move the constant to the other side

Subtract 4 from both sides: $2x+4 - 4=-9 - 4$, so $2x=-13$.

Step5: Solve for x

Divide both sides by 2: $x=\frac{-13}{2}=-6.5$.

Answer:

A. -6.5