# EX.2.1 Q4 Linear Equations in One Variable Solutions - NCERT Maths Class 8

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## Question

Solve the equation:

\(\begin{align}\frac{3}{7}\,\, + x\,\, = \,\,\frac{{17}}{7}\end{align}\)

## Text Solution

**What is known?**

Equations

**What is unknown?**

Value of the variable

**Reasoning:**

In an equation values of left-hand side (LHS) and right-hand side (RHS) are equal. The two sides of the equation are balanced. We perform mathematical operations so that the balance is not disturbed.

**Steps:**

\[\frac{3}{7}\,\, + \,\,x\,\, = \,\,\frac{{17}}{7}\]

Transposing \(\begin{align}\frac{3}{7}\end{align}\) to RHS,

we get

\[\begin{align}x &=\frac{17}{7} - \frac{3}{7}\\x&= \,\,\frac{14}{7}\\x &= 2\end{align}\]