When solving equations using addition, these equations will have the form x - b = c. Recall that ax + b = c is a linear equation.
Therefore, the equation x - b = c is also a linear equation with a = 1 and a negative sign in front of the b.
To see this, notice that 1x = x and - = + -
Thus, we can rewrite x - b = c as 1x + -b = c so that it has the format ax + b = c.
You can solve x - b = c in one step.
When solving one step equation of the form x - b = c, rewrite x - b = c as x + -b = c and then add b to both sides of the equation.
x + -b = c
x + -b + b = c + b
x + 0 = c + b
x = c + b
We will illustrate with two examples.
Example #1: Solve the equation x - 2 = 8 using addition.
Example #2: Solve the equation x - 4 = -6 using addition.
You could also solve the equation x - 2 = 8 as shown below as well.
x - 2 = 8
x + -2 = 8
x + -2 + 2 = 8 + 2
x + 0 = 10
x = 10
You could also solve the equation x - 4 = -6 as shown below as well.
x - 4 = -6
x + -4 = -6
x + -4 + 4 = -6 + 4
x + 0 = -2
x = -2
As already demonstrated above, if x - b = c, then x = c + b. Here are some examples.
If x - 1 = -5, then x = -5 + 1 = -4
If x - 22 = -2, then x = -2 + 22 = 20
If x - 5 = 4, then x = 4 + 5 = 9
Related content
Linear equations calculator
Easily solve any equations of the form x - b = c with the click of a button!
Nov 18, 20 01:20 PM
Top-notch introduction to physics. One stop resource to a deep understanding of important concepts in physics
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.