Solve for x in the equation 3x - 7 = 2x + 5.

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Multiple Choice

Solve for x in the equation 3x - 7 = 2x + 5.

Isolating the variable on one side of a linear equation lets you solve for x. Start with 3x - 7 = 2x + 5. Subtract 2x from both sides to get x - 7 = 5. Then add 7 to both sides to obtain x = 12. Check by substituting back: 3(12) - 7 = 36 - 7 = 29, and 2(12) + 5 = 24 + 5 = 29, so both sides match. The other values don’t satisfy the equation because they don’t make the left and right sides equal when substituted.

Isolating the variable on one side of a linear equation lets you solve for x. Start with 3x - 7 = 2x + 5. Subtract 2x from both sides to get x - 7 = 5. Then add 7 to both sides to obtain x = 12. Check by substituting back: 3(12) - 7 = 36 - 7 = 29, and 2(12) + 5 = 24 + 5 = 29, so both sides match. The other values don’t satisfy the equation because they don’t make the left and right sides equal when substituted.

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