Linear Equations in One Variable

Solve for the variable $x$: $x - 4 = -10$

Solve the linear equation: $2.5x = 5$

Find the value of $x$ in the equation $x + 22 = 22$.

Solve the following equation for $q$: $\frac{q}{10} + 5 = 8$

Determine $x$ from the equation $\frac{x}{11} - 1 = 2$.

Find $x$ in the equation $0.1x + 0.01 = 0.11$.

Solve the linear equation $16 - 2x = 4$.

Calculate $x$ in the equation: $\frac{x - \frac{1}{2}}{\frac{1}{4}} = 6$

Solve for $x$: $0.02(x - 50) + 0.03(x - 50) = 2.5$

Find $x$ that satisfies: $\frac{2}{7}(x + 1) = \frac{6}{7}$

Find the value of $c$ in the equation: $15c - 7 = 10c + 18$

Solve for $b$: $12b + 3 = 8b + 19$

Determine $a$: $10a - 4 = 6a + 16$

Solve the following for $k$: $14k + 1 = 9k + 21$

Solve the equation: $2(x - 2) = 5(x + 1) - 3$.

Find $x$: $\frac{3}{5}x - 2 = \frac{1}{5}x + 4$.

Solve the equation: $10 - 3(x - 1) = 2x - 2$.

Find the value of $x$ that satisfies the linear equation: $\frac{2x+5}{3} - \frac{x-1}{4} = \frac{3x+6}{2} + \frac{2x+2}{3}$

Solve for $x$: $\frac{x-1}{2} + \frac{x-2}{3} + \frac{x-3}{4} = \frac{x}{5} + \frac{x}{6}$

Find $x$ if $x - \frac{2x+8}{3} = \frac{x-2}{4} + \frac{2-x}{2}$

Find $x$ if $\frac{x}{5} + \frac{x}{5} = 4$.

Solve the equation: $3(x - 1) = 6$.

What is the value of $x$ in $\frac{x}{2} + 1 = 1.5$?

Solve the equation $10x = 5x + 25$.

Solve: $2x - \frac{x - 2}{3} = \frac{x + 5}{4}$

Find $x$: $\frac{x + 7}{3x + 16} = \frac{4}{7}$

Solve for $x$: $\frac{3x + 2}{x - 1} = \frac{3x - 1}{x + 2}$

Find the value of $x$: $\frac{x-5}{2} - \frac{x-3}{5} = \frac{1}{2}$

Solve for $x$: $\frac{x+2}{6} - \frac{11-x}{3} = \frac{1}{4}$

Solve for $x$: $\frac{3x-2}{5} - \frac{2x+1}{3} = \frac{1}{3}$

Three-fourths of a number is $9$. What is the number?

A person has $20$ coins in total, consisting of $1$-rupee and $2$-rupee coins. If the total value is $₹ 30$, how many $2$-rupee coins are there?

After $12$ years, Ravi will be $3$ times as old as he is now. What is his current age?

The perimeter of a regular hexagon is $42$ cm. What is the length of each side?

$6$ times a number is $20$ more than $2$ times the same number. What is the number?

A fruit basket contains $24$ fruits, consisting of apples and oranges. If the number of oranges is $3$ more than twice the number of apples, find the number of apples.

The sum of two consecutive even numbers is $74$. What is the smaller number?

If 10 is added to a certain number, the result is equal to 3 times the number decreased by 4. Find the number.

Divide 4500 into two parts such that $5\%$ of the first part is equal to $10\%$ of the second part.

The ratio of two sides of a rectangle is $4:3$. If its perimeter is $154 \text{ cm}$, find the length of the diagonal.