Solve for x: -2 + x/5 = 3
Understand the Problem
The question is asking to solve the given algebraic expression for x. We need to isolate x on one side of the equation to find its value.
Answer
$x = 25$
Answer for screen readers
$x = 25$
Steps to Solve
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Add 2 to both sides of the equation To isolate the term with $x$, add 2 to both sides of the equation: $$ -2 + \frac{x}{5} + 2 = 3 + 2 $$
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Simplify both sides Simplify to get: $$ \frac{x}{5} = 5 $$
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Multiply both sides by 5 Multiply both sides of the equation by 5 to isolate $x$: $$ 5 \cdot \frac{x}{5} = 5 \cdot 5 $$
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Simplify to find x Simplify to find the value of $x$: $$ x = 25 $$
$x = 25$
More Information
The solution to the equation $-2 + \frac{x}{5} = 3$ is $x = 25$.
Tips
A common mistake is to perform the operations in the wrong order. For example, multiplying $\frac{x}{5}$ by 5 before adding 2 to both sides. Another common mistake is to add -2 instead of adding 2 on both sides of the equation. Finally, a common mistake would be to multiply only one side of the equation by 5, rather than multiplying both sides.
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