Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: (5/4)x + 6 = (1/4)x - 2.
Solve: (5/4)x + 6 = (1/4)x - 2.
Ax = 8
Bx = -32
Cx = 2
Dx = -8
Answer & Solution
Correct answer: D. x = -8
1. Since five-fourths is greater than one-fourth, make the left side the variable side by subtracting one-fourth x from both sides.
2. Five-fourths x minus one-fourth x equals one whole x, so the equation becomes x plus 6 equals -2.
3. Subtract 6 from both sides to get x equals -8.
4. Check: five-fourths times -8, plus 6, equals -4, and one-fourth times -8, minus 2, also equals -4.
_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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