alleryStart learning →Solve: 10[3 - 8(2s - 5)] = 15(40 - 5s).
As=2
Bs=-5
Cs=5
Ds=-2
Answer & Solution
Correct answer: D. s=-2
1. Simplify the innermost parentheses first: 2s - 5 stays as is, then distribute -8 to get -16s + 40.
2. Combine like terms in the brackets: 3 - 16s + 40 simplifies to 43 - 16s, and multiplying by 10 gives 430 - 160s.
3. Distribute on the right: 15(40 - 5s) becomes 600 - 75s.
4. Add 160s to both sides and subtract 600 to get -170 = 85s, so s equals -2.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.4 Use a General Strategy to Solve Linear Equations_
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