Solve for x: 2x + 3 = 3x - 4.

Solve for x: 2x + 3 = 3x - 4.

• A. 7
• B. 1
• C. 4
• D. -7

Answer: (A)

Solving a linear equation involves isolating the variable by moving terms around so both sides balance. Start with 2x + 3 = 3x - 4. Subtracting 2x from both sides gives 3 = x - 4. Then add 4 to both sides to isolate x, yielding x = 7. Quick check: substitute x = 7, left side 2(7) + 3 = 17, right side 3(7) - 4 = 17, so both sides match. If you try the other values, they don’t satisfy the equation. For example, x = 1 gives 5 on the left and -1 on the right; x = 4 gives 11 vs 8; x = -7 gives -11 vs -25.

Solving a linear equation involves isolating the variable by moving terms around so both sides balance. Start with 2x + 3 = 3x - 4. Subtracting 2x from both sides gives 3 = x - 4. Then add 4 to both sides to isolate x, yielding x = 7.

Quick check: substitute x = 7, left side 2(7) + 3 = 17, right side 3(7) - 4 = 17, so both sides match.

If you try the other values, they don’t satisfy the equation. For example, x = 1 gives 5 on the left and -1 on the right; x = 4 gives 11 vs 8; x = -7 gives -11 vs -25.