alleryStart learning →Solve: 4(x - 1) - 2 = 5(2x + 3) + 6.
Ax = 4.5
Bx = -30
Cx = -4.5
Dx = -45
Answer & Solution
Correct answer: C. x = -4.5
1. Distribute and combine on the left: 4(x - 1) - 2 becomes 4x - 4 - 2, which simplifies to 4x - 6.
2. Distribute and combine on the right: 5(2x + 3) + 6 becomes 10x + 15 + 6, which simplifies to 10x + 21.
3. Subtract 4x from both sides since 10 is greater than 4: -6 = 6x + 21.
4. Subtract 21 from both sides and divide by 6 to get x equals negative nine-halves.
_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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