Solve: x  6 = 12
Solve: x + 6 = 12
Solve: x/6 = 12
Solve: 6x = 12 Solve:  x = 12 Solve: 5x/6 = 12 Solve: 3 + 2x =  1 Solve: 3 + 2x = 4x  1 Solve: 3x + 4(x 1) = 2 Solve: 4x + 2  3x + 5  2(x + 5) = (2x  5) + (3x + 4) consecutive integer expressions, equations Solving Equation on Graphing Calculators Intro & Vocabulary One Operation Equations More Than One Operation Equations Problems More Problems Solutions to a Linear Equation & Solving Linear Equations Graphically Linear Equation Solver  The Page Does The Work 
To solve a linear equation means to find the value(s) of the variable that make(s) the equation true (if this is possible), that make(s) one side or member of the equation equal to the other.
To solve a linear equation means to find the solution, or answer; to answer, or explain, or to determine the missing information; to cause something not to be a problem anymore.
To solve a linear equation means to undo, take the inverse of, each operations performed on the variable in order to make/create a statement, equivalent to the original problem, which states that the variable is equal to a specific constant.
The goal of this page is not just to solve the equation  most of these problems may be solved mentally. The goal of this page is to write the work and the equivalent statements which solve the equation & justify the answer.
Here, we solve a linear equation by undoing, taking the inverse of, each operation performed on the variable in order to make/create a statement, equivalent to the original problem, which states that the variable is equal to a specific constant, or a true statement, or a false statement. Here we show the work.
In order to do that we answer two questions: "What did they do to the x?" and "How do you undo this?" then, do this to both sides of the equation.
Two more examples illustrate solving an equation in which one operation must be undone.
They are isolated here because many students have more difficulty with problems which look like these. Again, the same questions must be addressed: "What did they do to the x?" and "How do you undo this?"

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