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Problem 184

# Solve $$3 \mathrm{x}-5=4$$ for $$\mathrm{x}$$

Expert verified
The solution to the equation $$3x-5=4$$ is $$x = 3$$.
See the step by step solution

## Step 1: Identify the equation and the variable to solve for

The equation given is $$3x-5=4$$, and we want to solve for the variable $$x$$.

## Step 2: Add 5 to both sides of the equation

To start isolating the variable x, add 5 to both the left and right sides of the equation: $3x - 5 + 5 = 4 + 5$ This simplifies to: $3x = 9$

## Step 3: Divide both sides of the equation by 3

To completely isolate the variable x, divide both sides of the equation by 3: $\frac{3x}{3} = \frac{9}{3}$ This simplifies to: $x = 3$

## Step 4: Check the solution

To make sure that the solution is correct, plug the value of x back into the original equation: $3(3) - 5 = 4$ $(9 - 5) = 4$ $4 =4$ Since both sides of the equation are equal, the solution is verified. Thus, the solution to the equation $$3x-5=4$$ is $$x = 3$$.

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