Online math problem solvers are handy tools when you’re stuck with your homework or preparing for a test. Use math problem solvers to get answers to algebra, calculus, trigonometry, arithmetic or any other topic you are having trouble with. Any math problem solver will solve your question in a jiffy ensuring that you don’t waste too much time struggling with one problem. They are free and easy to use and have a bouquet of features that capture your interest and make learning math fun.

## Problem Solver Math

### Solved Examples

**Question 1:**Solve $\frac{x - 2}{2} + \frac{x + 10}{9}$ = 5

**Solution:**

Given equation, $\frac{x - 2}{2} + \frac{x + 10}{9}$ = 5

=> $\frac{x - 2}{2} + \frac{x + 10}{9}$ = 5

=> $\frac{9(x - 2) + 2(x + 10)}{18}$ = 5

=> $\frac{9x - 18 + 2x + 20}{18}$ = 5

=> $\frac{11x + 2}{18}$ = 5

=> 11x + 2 = 5 * 18

=> 11x + 2 = 90

Subtract 2 from both sides

=> 11x + 2 - 2 = 90 - 2

=> 11x = 88

Divide each side by 11

=> $\frac{11x}{11} = \frac{88}{11}$

=> x = 8, answer

=> $\frac{x - 2}{2} + \frac{x + 10}{9}$ = 5

=> $\frac{9(x - 2) + 2(x + 10)}{18}$ = 5

=> $\frac{9x - 18 + 2x + 20}{18}$ = 5

=> $\frac{11x + 2}{18}$ = 5

=> 11x + 2 = 5 * 18

=> 11x + 2 = 90

Subtract 2 from both sides

=> 11x + 2 - 2 = 90 - 2

=> 11x = 88

Divide each side by 11

=> $\frac{11x}{11} = \frac{88}{11}$

=> x = 8, answer

**Question 2:**Solve the equation 3(4x + 5) - 3(3x - 6) = 7

**Solution:**

Given, 3(4x + 5) - 3(3x - 6) = 7

3(4x + 5) - 3(3x - 6) = 7

=> 3 * 4x + 3 * 5 - 3 * 3x + 3 * 6 = 7

=> 12x + 15 - 9x + 18 = 7

=> 3x + 33 = 7

=> 3x = 7 - 33 = - 26

Divide each side by 3

=> $\frac{3x}{3} = \frac{-26}{3}$

=> x = $\frac{-26}{3}$, answer.

3(4x + 5) - 3(3x - 6) = 7

=> 3 * 4x + 3 * 5 - 3 * 3x + 3 * 6 = 7

=> 12x + 15 - 9x + 18 = 7

=> 3x + 33 = 7

=> 3x = 7 - 33 = - 26

Divide each side by 3

=> $\frac{3x}{3} = \frac{-26}{3}$

=> x = $\frac{-26}{3}$, answer.

**Question 3:**The length of a rectangle is three- times of its width. If the area of the rectangle is 27 square mtr. Find its length.

**Solution:**

Let length of the rectangle = x

Therefore width of the rectangle = 3x

Given, area of the rectangle = 27

Area of rectangle = Length * width

=> 27 = x * 3x

=> 27 = 3x

Divide each side by 3

=> $\frac{27}{3} = \frac{3x^2}{3}$

=> 9 = x

=> x = $\sqrt{9}$ = 3

Therefore width of the rectangle = 3x

Given, area of the rectangle = 27

Area of rectangle = Length * width

=> 27 = x * 3x

=> 27 = 3x

^{2}Divide each side by 3

=> $\frac{27}{3} = \frac{3x^2}{3}$

=> 9 = x

^{2}or x^{2}= 9=> x = $\sqrt{9}$ = 3

**Answer:**Length of the rectangle is 3 mtr.