Linear Equations in One Variable

What is the value of $x$ for $6x + 6 = 36$?

Solve the equation: $\frac{2}{5}x = 10$.

Determine $x$ if $x - \frac{1}{4} = \frac{3}{4}$.

Solve for $x$: $15 + x = 0$.

Solve the linear equation: $\frac{x}{2} + \frac{x}{2} + 5 = 15$.

Determine $x$ in the equation: $3(2x + 4) = 24$.

Solve for $x$: $100 - 5x = 25$.

Find $x$ in: $0.5(x - 2) + 0.25(x - 4) = 1$

Solve for $x$: $0.8(2x - 5) + 1.6 = 8$

Find $x$: $0.45x - 0.25x = 4$

Solve the equation: $11x + 10 = 10x - 5$

Solve for $z$: $3z - 1 = 2z + 6$

Find the value of $y$ in $15y + 1 = 14y - 4$

Solve: $9k - 4 = 8k + 11$

Solve the equation: $10(x - 0.4) = 2x + 12$

Find $x$: $7x - 10 = 4x + 11$

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

Find $x$: $\frac{x+a}{x-a} = \frac{b-a}{b+a}$

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

Determine $x$: $\frac{2x+1}{x-1} + \frac{x-5}{x-1} = 4$

Solve: $100x = 500$.

Find the value of $x$: $7x - 7 = 0$.

Solve for $v$: $v/3 + 2 = 5$.

Simplify and solve: $2(x - 1) = 8$.

Simplify and solve: $\frac{x}{2} + \frac{x}{3} - \frac{x}{4} = 7$

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

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

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

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

Solve for $x$: $\frac{x+4}{x+2} - \frac{x-1}{x-2} = \frac{1}{x^2-4}$.

Thrice the sum of a number and $2$ is $21$. Find the number.

The difference between two numbers is $8$. If their sum is $40$, find the smaller number.

Half of a number added to $10$ is $25$. Find the number.

The ratio of two numbers is $5:3$. If their difference is $24$, find the larger number.

The sum of two numbers is 45 and they are in the ratio $7:8$. Find the value of the larger number.

Divide ₹150 into two parts such that one part is ₹20 more than the other. What is the value of the smaller part?

Find the angle whose measure is exactly double its complement.

In a competitive exam, 5 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. If Jayant answered 120 questions and got 348 marks, how many questions did he answer correctly?

A person travels 300 km partly by train and partly by car. He takes 4 hours if he travels 60 km by train and the rest by car. If he travels 100 km by train and the rest by car, he takes 10 minutes longer. Find the speed of the train.

Two numbers are in the ratio $8:3$. If their sum is 143, find the positive difference between the numbers.