Solve the equation $3 x = 2 x + 18$ and check your results.

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Solution

Step 1: Finding the value of $x$ .

Subtract $2 x$ on both sides of the equation.

$3 x = 2 x + 18$

$\Rightarrow 3 x - 2 x = 2 x - 2 x + 18$

$\Rightarrow x = 18$
[1 mark]

Step 2: Verifying the result.

L.H.S $= 3 x$

$= 3 \times 18$

$= 54$

and R.H.S $= 2 x + 18$

$= 2 \times 18 + 18$

$= 36 + 18$

$= 54$

L.H.S $=$ R.H.S

Therefore, the value of $x$ is $18$ .
[2 mark]

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