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solve for x. \\frac{3x - 3}{4} = 6 x = ?

Question

solve for x.
\frac{3x - 3}{4} = 6
x = ?

Explanation:

Step1: Eliminate the denominator

Multiply both sides of the equation $\frac{3x - 3}{4}=6$ by 4 to get rid of the denominator. So we have $4\times\frac{3x - 3}{4}=6\times4$, which simplifies to $3x - 3 = 24$.

Step2: Isolate the term with x

Add 3 to both sides of the equation $3x - 3 = 24$. We get $3x-3 + 3=24 + 3$, which simplifies to $3x=27$.

Step3: Solve for x

Divide both sides of the equation $3x = 27$ by 3. So $\frac{3x}{3}=\frac{27}{3}$, which gives $x = 9$.

Answer:

$x = 9$