Stuck on Gina Wilson Unit 2 Homework 1? How to Crack Multi-Step Equations Fast
By James H. Sterling
Multi-step equations appear intimidating because they present several moving parts simultaneously. A problem might look like $-3(2x - 4) + 5x = 29$. The secret to solving any problem on Unit 2 Homework 1 lies in reducing complexity step-by-step rather than trying to calculate the answer mentally.
Every problem on this opening assignment can be resolved using four sequential operations:
- Clear parentheses using the distributive property: Multiply the coefficient outside the parentheses by every term inside, paying strict attention to positive and negative signs.
- Combine like terms on the same side of the equal sign: Gather all variable terms together and all constant terms together on that specific side. Do not attempt to cross the equal sign during this step.
- Isolate the variable term via addition or subtraction: Use inverse operations to move constants away from the variable to the opposite side of the equation.
- Solve for the variable via multiplication or division: Neutralize the variable's coefficient to bring the variable to an isolated positive single unit ($x = \text{value}$).
Applying this sequence to $-3(2x - 4) + 5x = 29$ illustrates the cadence. First, distribute $-3$ across $(2x - 4)$, which produces $-6x + 12$. The equation is now $-6x + 12 + 5x = 29$. Second, combine like terms on the left: $-6x + 5x$ yields $-1x$ (or simply $-x$). The statement simplifies to $-x + 12 = 29$. Third, subtract 12 from both sides, yielding $-x = 17$. Finally, divide by $-1$ to isolate the variable completely: $x = -17$.
James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.
