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Simple Linear Equations (Including Word Problems) — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSSimple Linear Equations (Including Word Problems)3 Marks
Question
Solve: $\frac{2 x-3}{3}-(x-5)=\frac{x}{3}$
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Answer


$\begin{aligned} & \frac{2 x-3}{3}-(x-5)=\frac{x}{3} \\ & \Rightarrow \frac{2 x-3}{3}-\frac{x-5}{1}=\frac{x}{3} \\ & \Rightarrow \frac{2 x-3-3 x+15=x}{3} \\ & \Rightarrow-x+12=x \\ & \Rightarrow 12=x+x \\ & \Rightarrow 2 x=12 \\ & \therefore x=\frac{12}{2}=6\end{aligned}$

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