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Question

Mathematics Question on Solving Equations having the Variable on both Sides

Solve the following equation and check your result: 3x=2x+183x = 2x + 18

Answer

3x=2x+183x = 2x + 18
On transposing 2x2x to L.H.S, we obtain
3x2x=183x - 2x = 18
x=18x = 18
\Rightarrow L.H.S = 3x3x
= 3×183 \times 18
= 5454
\Rightarrow R.H.S = 2x+182x + 18
= 2×18+182 \times 18 + 18
= 36+1836 + 18
= 5454
L.H.S. = R.H.S.

Hence, the result obtained above is correct.