determine a value for x that makes the given equation true. 9x - 4(x - 3) = 27 + 2x

Explanation:

Step1: Expand the left - hand side

$9x-4(x - 3)=9x-4x + 12=5x + 12$

Step2: Rewrite the equation

The original equation $9x-4(x - 3)=27 + 2x$ becomes $5x+12=27 + 2x$

Step3: Move the terms with x to one side

Subtract $2x$ from both sides: $5x-2x+12=27+2x-2x$, which simplifies to $3x + 12=27$

Step4: Isolate the term with x

Subtract 12 from both sides: $3x+12 - 12=27-12$, getting $3x=15$

Step5: Solve for x

Divide both sides by 3: $\frac{3x}{3}=\frac{15}{3}$, so $x = 5$

Answer:

$x = 5$