Solving Linear Equations

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Solving for x means finding the value of x that makes the equation true.

The first step is to move all terms involving x to one side and constant terms to the other side.

The solution is x = 1/3.

You substitute the solution back into the original equation to see if both sides are equal.

The solution is x = 2.

The value of x is 12.

You divide both sides by -4 to isolate x, resulting in x = -6.

Balancing an equation ensures that both sides remain equal after performing operations, which is essential for finding the correct solution.