alleryStart learning →Solve for q: 8q - 5 = -4q + 7.
Aq = -1
Bq = 1
Cq = 12
Dq = 6
Answer & Solution
Correct answer: B. q = 1
1. Add 4q to both sides to collect the variable terms on the left: 12q - 5 = 7.
2. Add 5 to both sides to collect the constants on the right: 12q = 12.
3. Divide both sides by 12: q = 1.
4. Check: 8(1) - 5 = 3 and -4(1) + 7 = 3, so both sides agree.
5. q = 12 is the trap of stopping after 12q = 12 without dividing.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.3 Solve Equations with Variables and Constants on Both Sides_
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