Complete Study Guide: How to Solve Gina Wilson Unit 2 Homework 5 Correctly
Solving any problem on Homework 5 relies on executing operations in an invariant order. Bypassing these phases to take mental shortcuts almost always introduces calculation defects. Tutors and classroom teachers emphasize a dependable four-stage protocol.
First, clear all grouping symbols using the distributive property. If an expression reads -3(4x - 5), multiply the negative three across both interior components to yield -12x + 15. Pay strict attention to the negative sign; overlooking the double-negative multiplication is the single most frequent mistake on the page.
Second, combine like terms on each individual side of the equal sign independently. Do not attempt to move terms across the equality barrier during this phase. If the left side reads -12x + 15 + 2x, simplify it directly to -10x + 15. Treat each side of the equation as an isolated workspace until no further consolidation is possible.
Third, collect variable terms onto a single side using inverse operations. As a rule of thumb to avoid negative coefficients, subtract or add the variable with the smaller coefficient. If you have -10x on the left and 2x on the right, adding 10x to both sides keeps the resulting coefficient positive (12x), cutting down on downstream division errors.
Fourth, isolate the variable by using inverse operations to peel away constants, followed by dividing or multiplying to eliminate the final coefficient. If the remaining expression is 15 = 12x - 9, add 9 to both sides to produce 24 = 12x, then divide by 12 to arrive at x = 2.
