Equation (+ what is the unknown) - Examples, Exercises and Solutions

Variable

What is a variable?

A variable is a specific symbol like a Latin letter – XX/YY/ZZ that can change and represent a quantity/value.

Practice Equation (+ what is the unknown)

Examples with solutions for Equation (+ what is the unknown)

Exercise #1

2x+75x12=8x+3 2x+7-5x-12=-8x+3

Video Solution

Step-by-Step Solution

To solve this exercise, we first need to identify that we have an equation with an unknown,

To solve such equations, the first step will be to arrange the equation so that on one side we have the numbers and on the other side the unknowns.

2X+7-5X-12=-8X+3

First, we'll move all unknowns to one side.
It's important to remember that when moving terms, the sign of the number changes (from negative to positive or vice versa).

2X+7-5X-12+8X=3

Now we'll do the same thing with the regular numbers.

2X-5X+8X=3-7+12

In the next step, we'll calculate the numbers according to the addition and subtraction signs.

2X-5X=-3X
-3X+8X=5X

3-7=-4
-4+12=8

5X=8

At this stage, we want to get to a state where we have only one X, not 5X,
so we'll divide both sides of the equation by the coefficient of the unknown (in this case - 5).

X=8/5

Answer

x=85 x=\frac{8}{5}

Exercise #2

5x=0 5x=0

Video Solution

Answer

x=0 x=0

Exercise #3

5x=1 5x=1

What is the value of x?

Video Solution

Answer

x=15 x=\frac{1}{5}

Exercise #4

14x+3=17 14x+3=17

x=? x=\text{?}

Video Solution

Answer

x=1 x=1