Solve 5(x - 3) + 7 = 2x + 10.
Ax equals 2
Bx equals 9
Cx equals 6
Dx equals 4
Answer & Solution
Correct answer: C. x equals 6
1. Distribute the 5 to get 5x minus 15 plus 7 on the left.
2. Combine like terms so the left side becomes 5x minus 8.
3. Subtract 2x from both sides to get 3x minus 8 equal to 10.
4. Add 8 to both sides to get 3x equal to 18, so x is 6.
5. Checking, the left gives 22 and the right gives 22, so x equal to 2 cannot be right.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.1 Use a General Strategy to Solve Linear Equations_
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