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Question

# The sum of $3$ times the value of $x$ and $2$ is equal to $4$ less than $5$ times the value of $x$. Which equation can be used to find the value of $x$?

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Solution

## Step-1: Obtain the equation:$3$ times the value of $x$ will be $3x$ and the sum of $3$ times the value of $x$ and $2$ will be $3x+2$.$5$ times the value of $x$ will be $5x$ and $4$ less than $5$ times the value of $x$ will be $5x-4$.Equate $3x+2$ and $5x-4$ equal as per the given information:$3x+2=5x-4$Step-2: Solve the equation obtained:Solve the linear equation in one variable as follow:$\begin{array}{rcl}3x+2& =& 5x-4\\ & ⇒& 2+4=5x-3x\left[\mathrm{isolate}\mathrm{the}\mathrm{terms}\mathrm{of}x\right]\\ & ⇒& 6=2x\\ & ⇒& 2x=6\\ & ⇒& x=3\left[\mathrm{divide}\mathrm{the}\mathrm{equation}\mathrm{by}3\right]\end{array}$Hence, the value of $\mathbit{x}$ is $\mathbf{3}$.

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