Skill: Solve one-step subtraction equations

Explanation and Free Practice Resources

Solving one-step subtraction equations involves finding an unknown whole number in forms such as x−a=bx-a=b or a−x=ba-x=b, using the relationship between subtraction and addition and interpreting equality as a balance between two quantities. The reasoning is supported by number lines, bar models, and related fact families, and includes checking a solution in the original equation rather than treating subtraction as commutative. The focus is on whole numbers within 1,000; negative numbers, fractions, decimals, and multi-step or more general algebraic equations are not included.

Detailed Explanation: Solve one-step subtraction equations

An equation is like a balanced scale: both sides have the same value.

When the unknown is being subtracted, as in

23−x=8,23-x=8,

read it as: “23 take away a number leaves 8.”

Find the missing part by using addition:

8+x=23.8+x=23.

Ask, “What number added to 8 makes 23?” The distance from 8 to 23 is 15, so

x=15.x=15.

Check the answer in the original equation:

23−15=8.23-15=8.

The equation is true, so the solution is

x=15.\boxed{x=15}.

Remember: subtraction is not commutative. In this problem, do not switch 23−x23-x to x−23x-23. Think about the missing part: the number taken away from 23.

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