Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: 9x - 5 - 8x - 6 = 7.
Solve: 9x - 5 - 8x - 6 = 7.
Ax = 18
Bx = 8
Cx = -8
Dx = 0.5
Answer & Solution
Correct answer: A. x = 18
1. Combine the like x-terms first: 9x minus 8x equals x.
2. Combine the constant terms: -5 minus 6 equals -11.
3. The equation simplifies to x minus 11 equals 7.
4. Add 11 to both sides to get x equals 18, and checking confirms 9(18) - 5 - 8(18) - 6 equals 18 - 11 equals 7.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_
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