Solving Equations Using All Methods: Addition, subtraction, multiplication and division

Solve the equation

$5x-15=30$

We start by moving the sections:

5X-15 = 30
5X = 30+15

5X = 45

Now we divide by 5

X = 9

$x=9$

Solve the equation

$20:4x=5$

To solve the exercise, we first rewrite the entire division as a fraction:

$\frac{20}{4x}=5$

Actually, we didn't have to do this step, but it's more convenient for the rest of the process.

To get rid of the fraction, we multiply both sides of the equation by the denominator, 4X.

20=5*4X

20=20X

Now we can reduce both sides of the equation by 20 and we will arrive at the result of:

X=1

$x=1$

Solve the equation

$4\frac{1}{3}\cdot x=21\frac{2}{3}$

We have an equation with a variable.

Usually, in these equations, we will be asked to find the value of the missing (X),

This is how we solve it:

To solve the exercise, first we have to change the mixed fractions to an improper fraction,

So that it will then be easier for us to solve them.

Let's start with the four and the third:

To convert a mixed fraction, we start by multiplying the whole number by the denominator

4*3=12

Now we add this to the existing numerator.

12+1=13

And we find that the first fraction is 13/3

Let's continue with the second fraction and do the same in it:
21*3=63

63+2=65

The second fraction is 65/3

We replace the new fractions we found in the equation:

 13/3x = 65/3

At this point, we will notice that all the fractions in the exercise share the same denominator, 3.

Therefore, we can multiply the entire equation by 3.

13x=65

Now we want to isolate the unknown, the x.

Therefore, we divide both sides of the equation by the unknown coefficient -
13.

63:13=5

x=5

$x=5$

Solve for X:

$5x=25$

5

Solve for X:

$\frac{1}{3}x=9$

27

Find the value of the parameter X:

$x+5=8$

3

Solve for X:

$5-x=4$

1

Solve for X:

$3+x=4$

1

Solve for X:

$3-x+7=5$

5

Solve for X:

$6x=72$

12

Find the value of the parameter X

$-8-x=5$

$-13$

Solve for X:

$-5+x=-3$

$2$

Solve for X:

$-8-x=-5$

$-3$

Solve for X:

$\frac{1}{5}x=12$

$60$

Solve the equation

$8x\cdot10=80$

$x=1$

$5x=1$

What is the value of x?

$x=\frac{1}{5}$

$5x=0$

$x=0$

$4x:30=2$

$x=15$

Solve the equation

$7x+5.5=19.5$

$x=2$

Solve for X:

$10+3x=19$

3