Ctrl+k

Solve addition equations

An addition equation such as x+a=bx+a=b or a+x=ba+x=b represents a relationship in which the unknown addend can be determined by subtracting the known addend from the total; the learner applies the inverse relationship between addition and subtraction while preserving equality. Solutions may involve whole numbers, integers, fractions, or decimals and can be checked by substitution. The scope is limited to one-step equations, not multi-step equations or equations requiring more advanced algebraic techniques.

Detailed Explanation: Solve addition equations

An addition equation shows that an unknown number is being added to a known number. To find the unknown, use the inverse operation: subtraction.

Example:

x+7=19x+7=19
  1. Subtract 77 from both sides to keep the equation balanced:
x+7−7=19−7x+7-7=19-7
  1. Simplify:
x=12x=12
  1. Check the answer by substituting 1212 for xx:
12+7=1912+7=19

Since the statement is true, the solution is

x=12\boxed{x=12}

Learn by doing: Solve addition equations

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Linear Equation - One Variable, Two Terms, Simple Display


    ?