Solve the equation: (2x-4)/3 = 72
Understand the Problem
The question requires us to solve a linear equation for the variable x. The equation is: (2x-4)/3 = 72. We will need to isolate x by performing algebraic operations on both sides of the equation.
Answer
$x = 110$
Answer for screen readers
$x = 110$
Steps to Solve
- Multiply both sides by 3
To eliminate the fraction, we multiply both sides of the equation by 3:
$$ \frac{2x - 4}{3} \times 3 = 72 \times 3 $$
$$ 2x - 4 = 216 $$
- Add 4 to both sides
To isolate the term with x, we add 4 to both sides of the equation:
$$ 2x - 4 + 4 = 216 + 4 $$
$$ 2x = 220 $$
- Divide both sides by 2
To solve for x, we divide both sides of the equation by 2:
$$ \frac{2x}{2} = \frac{220}{2} $$
$$ x = 110 $$
$x = 110$
More Information
The solution to the linear equation $\frac{2x-4}{3} = 72$ is $x=110$.
Tips
A common mistake is not distributing the multiplication correctly when eliminating the fraction or forgetting to perform the same operation on both sides of the equation. Another common mistake is making arithmetic errors when performing the operations.
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