Solve for x. (x-3)/(x-6)=(4)/(3) Answer:

Set up equation: Set up the equation from the problem. We have the equation (x-3)/(x-6) = 4/3. We need to solve for x.Cross-multiply: Cross-multiply to eliminate the fractions. Cross-multiplying gives us 3(x - 3) = 4(x - 6).Distribute numbers: Distribute the numbers on both sides. 3x - 9 = 4x - 24Move terms: Move the variable terms to one side and the constant terms to the other side. Subtract 3x from both sides to get -9 = x - 24.Add to isolate: Add 24 to both sides to isolate x. -9 + 24 = xSimplify equation: Simplify the equation to find the value of x. 15 = x

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x.

(x-3)/(x-6)=(4)/(3)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{x-3}{x-6}=\frac{4}{3}$ $\newline$ Answer:

View step-by-step help

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{x-3}{x-6}=\frac{4}{3}

\newline

Answer:

Set up equation: Set up the equation from the problem. $\newline$ We have the equation $(x-3)/(x-6) = 4/3$ . We need to solve for $x$ .
Cross-multiply: Cross-multiply to eliminate the fractions. $\newline$ Cross-multiplying gives us $3(x - 3) = 4(x - 6)$ .
Distribute numbers: Distribute the numbers on both sides. $3x - 9 = 4x - 24$
Move terms: Move the variable terms to one side and the constant terms to the other side. $\newline$ Subtract $3x$ from both sides to get $-9 = x - 24$ .
Add to isolate: Add $24$ to both sides to isolate $x$ . $\newline$ $-9 + 24 = x$
Simplify equation: Simplify the equation to find the value of $x$ . $15 = x$