When solving equations using subtraction, they will have the form x + b = c. Recall that ax + b = c is a linear equation.
Therefore, the equation x + b = c is a linear equation with a = 1.
To see this, notice that 1.x = x
Thus, we can rewrite x + b = c as
1.x + b = c
You can solve x + b = c in one step.
When solving one step equation of the form x + b = c, subtract b from both sides of the equation.
Let us illustrate with examples:
Example #1
Solve x + 3 = 8 for x
Alternatively, you do not have to put the -3 beneath the 3. You can also put it next to it.
x + 3 = 8
x + 3 − 3 = 8 − 3
x + 0 = 5
x = 5
Example #2
Solve x + 5 = 10 for x
Example #3
Solve x + 5 = - 10 for x
You could also solve the equation x + 5 = -10 as shown below
x + 5 = -10
x + 5 - 5 = -10 - 5
x + 0 = -15
x = -15
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