Introduction to Linear Equations in One Variable

$\frac{x-2}{x+2}+\frac{x+2}{x-2}=4$

Solve for $x$.

$\frac{x+0.25}{3}-x=0.5$

Simplify: $20-4x-2x+2=0$

Write the linear equation for the following statement:

"$5$ added to three-fifth of a number gives $\frac{14}{3}$" hence find the number.

One fifth of rational numbers added to $1$ is equal to $\frac{2}{3}$.The original rational number is _____

What is equation?

One-fifth of a rational number when added to$1$ is equal to $\frac{2}{3}$. The original rational number is _____.

Solve the equation $4x-3=x+21$ and represent the solution(s) on the number line.

Solve: $3x=2x+18$

What is the value of $x$ if $20x+47=167$

Divide $₹715$ among $A, B, C$ in such a way that $B$ gets three times as much as $A$ gets and $C$ gets half of as much as $B$ gets

Solve the following equation and crosscheck your answer:

$a-3=5$

Solve for $x$: $\frac{9x}{7-6x}=15$

From the table, choose any one item from each column to form an equation and solve it. Form at least $5$ equations.

Find the value of $x$:

$2+4(3x+2)=2(5x+1)+14$

The value of $\left(1+\frac{1}{\mathrm{x}}\right)\left(1+\frac{1}{\mathrm{x}+1}\right)\left(1+\frac{1}{\mathrm{x}+2}\right)\left(1+\frac{1}{\mathrm{x}+3}\right)$:

If a man spends $\frac{5}{6}$ part of the money and then again earns $\frac{1}{2}$ part of the remaining money, what part of his money is with him now?

$x=1$is the solution for $4\left(x+5\right)=24$. Say true or false.

Any equation of the type $ax+b=0$ where $a\ne 0$ is called a _____ in variable $x$. 

Which of the following is not a linear equation in one variable?