Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Solve: -5 = (1/4)(8x + 4).
Solve: -5 = (1/4)(8x + 4).
Ax = 3
Bx = -30
Cx = 30
Dx = -3
Answer & Solution
Correct answer: D. x = -3
1. Distribute one-fourth across the parentheses first, which clears the fraction right away: -5 equals 2x plus 1.
2. Subtract 1 from both sides: -6 equals 2x.
3. Divide both sides by 2 to get x equals -3.
4. Check: one-fourth of (8 times -3, plus 4) equals one-fourth of -20, which equals -5.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.5 Solve Equations with Fractions or Decimals_
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