alleryStart learning →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_
Keep practising Solving Linear Equations and Inequalities
Browse all Solving Linear Equations and Inequalities questions for NY Regents Algebra I, or explore more Mathematics topics.
Related questions
Spot the broken stepOrder the equation-solving stepsSolve: -5 = (1/4)(8x + 4).Solve: a + 3/4 = (3/8)a - 1/2.Solve: 6 = (1/2)v + (2/5)v - (3/4)v.Solve: (1/6)y - 1/3 = 5/6.Classify the equation 5m + 3(9 + 3m) = 2(7m - 11), then state the solution.Classify the equation 10 + 4(p - 5) = 0, then state the solution.