Quickname: 3102
Suitable for K-12 grades: Grade 7 Grade 8 Grade 9
Junior High School, Middle School, High School.
Solve a linear equation step-by-step by performing equivalent transformations.
In a linear equation with one unknown variable, the value of the variable must be determined. The linear equation is formed by a sum of terms of the form ax and/or a on both sides of the equality sign. In addition, there is also a summand in the form of a distributive element a(x+b). By expanding the distributive element, combining like terms and performing equivalence transformation, the equation is to be brought into the form x=c, with c being a whole number. This term represents the solution of the equation. A corresponding note to use the technique of equivalent transformation can be given or omitted in the problem statement.
The number of terms to the left and right of the equality sign that appear together with the distributive element can be predetermined. If desired, only the variable x appears as an unknown in order not to confuse. The individual steps of the solution process can be selected to be
The steps of equivalent transformations are shown in the order:
The solution is always a whole number.
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