This mathematical practice involves simplifying expressions and isolating variables to find solutions for unknown values within equations. For instance, an equation like 3(x + 2) = 15 requires applying the distributive property (multiplying 3 by both x and 2) to become 3x + 6 = 15. Subsequent steps involve subtracting 6 from both sides and then dividing by 3 to isolate x, ultimately revealing the solution.
Mastering this skill is fundamental to algebra and higher-level mathematics. It provides a crucial tool for problem-solving in various fields, from physics and engineering to finance and computer science. This technique has historical roots in the development of symbolic algebra, enabling mathematicians to represent and manipulate abstract quantities more effectively.
