Simple (Linear) Equations
A simple (linear) equation states that two expressions are equal, and solving it means finding the value of the variable that makes it true.
Core concept
An equation like x + 5 = 12 shows that the expression x + 5 equals 12, and we solve for x by finding its value.
How it works
To solve, we perform the same operation on both sides of the equation to isolate the variable, like subtracting 5 from both sides.
Why it matters
For x + 5 = 12, we subtract 5 from both sides: x = 12 - 5 = 7.
Key detail
Solving equations is a key algebra skill, useful for finding unknown values in many mathematical and real-life problems.
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Quick notes
• An equation states two expressions are equal.
• x + 5 = 12 is an example equation.
• We solve by performing the same operation on both sides.
• This isolates the variable.
• x + 5 = 12 gives x = 7.
• We subtract 5 from both sides to solve.
• Solving equations is a key algebra skill.
• It helps find unknowns in real problems.