One-Step Equations

25 min
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A one-step equation needs exactly one inverse operation to isolate the variable.

Example 1 (undo an addition).

x+8=15    x=158=7x + 8 = 15 \;\Rightarrow\; x = 15 - 8 = 7

Example 2 (undo a multiplication).

5x=45    x=455=95x = 45 \;\Rightarrow\; x = \frac{45}{5} = 9

Example 3 (undo a division).

x4=6    x=6×4=24\frac{x}{4} = 6 \;\Rightarrow\; x = 6 \times 4 = 24

Always finish with a substitution check: 5(9)=455(9) = 45

Solve for xx: x+8=15x + 8 = 15

Solve for xx: 5x=455x = 45

Solve and give your answer in the form x=…: x3.5=6.5x - 3.5 = 6.5