Solve for x: 2x − 4 = 3x + 5.

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Prepare for the Grade 6 FAST Mathematics Test. Study with comprehensive questions, solutions, and tips to maximize your performance and excel in your exam!

Multiple Choice

Solve for x: 2x − 4 = 3x + 5.

Explanation:
Solving linear equations means isolating the variable by moving terms so that all x terms are on one side and constants on the other. Start by removing 2x from the left side: 2x − 4 = 3x + 5 becomes -4 = x + 5. Then move the constant on the right by subtracting 5 from both sides: -9 = x, which gives x = -9. A quick check shows both sides equal when x = -9: 2x − 4 = -22 and 3x + 5 = -22.

Solving linear equations means isolating the variable by moving terms so that all x terms are on one side and constants on the other. Start by removing 2x from the left side: 2x − 4 = 3x + 5 becomes -4 = x + 5. Then move the constant on the right by subtracting 5 from both sides: -9 = x, which gives x = -9. A quick check shows both sides equal when x = -9: 2x − 4 = -22 and 3x + 5 = -22.

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