Solve for x: 5x - 3 = 2x + 9.

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Multiple Choice

Solve for x: 5x - 3 = 2x + 9.

Explanation:
Isolating the variable in a linear equation is what this question tests. Start with five times x minus three equals two times x plus nine. Subtract two times x from both sides to get three times x minus three equals nine. Add three to both sides to obtain three times x equals twelve. Divide both sides by three to get x equals four. To check, substitute four: the left side becomes five times four minus three, which is twenty minus three equals seventeen; the right side becomes two times four plus nine, which is eight plus nine equals seventeen. Both sides match, so four is the solution.

Isolating the variable in a linear equation is what this question tests. Start with five times x minus three equals two times x plus nine. Subtract two times x from both sides to get three times x minus three equals nine. Add three to both sides to obtain three times x equals twelve. Divide both sides by three to get x equals four. To check, substitute four: the left side becomes five times four minus three, which is twenty minus three equals seventeen; the right side becomes two times four plus nine, which is eight plus nine equals seventeen. Both sides match, so four is the solution.

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