But before explaining what unknowns are, it is important that we review the concept of what a mathematical equation is:
In general, we express the unknowns with the letters , or Greek letters such as alpha and beta. Most of the time we will be asked to find the unknown value to be determined by solving an equation.
\( 2x+7-5x-12=-8x+3 \)
\( 5x=0 \)
\( 5x=1 \)
What is the value of x?
\( 14x+3=17 \)
\( x=\text{?} \)
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.
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).
Now we'll do the same thing with the regular numbers.
In the next step, we'll calculate the numbers according to the addition and subtraction signs.
At this stage, we want to get to a state where we have only one , not ,
so we'll divide both sides of the equation by the coefficient of the unknown (in this case - 5).
What is the value of x?