How can I easily solve linear equations in one variable?

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Detailed Solution

Solving a linear equation like 2x + 5 = 15 means finding the value of the variable (x). The goal is to get the variable by itself on one side of the equation.

The Golden Rule: Whatever you do to one side of the equation, you must do to the other side to keep it balanced.

Step-by-Step Example (2x + 5 = 15):

Isolate the variable term: Get rid of the +5. Do the opposite operation: subtract 5 from both sides. 2x + 5 - 5 = 15 - 52x = 10
Solve for the variable: The variable x is being multiplied by 2. Do the opposite: divide both sides by 2. 2x / 2 = 10 / 2x = 5

After finding your answer, always plug it back into the original equation to check if it's correct. 2(5) + 5 = 10 + 5 = 15. It works!

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