Ace the NLN PAX Math Challenge 2026 – Multiply Your Success!

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If 4x + 3 = 7x - 9 then x =

4

Solving linear equations by undoing the operations on x to isolate it on one side. Start with 4x + 3 = 7x - 9. Subtract 4x from both sides to gather x terms on one side: 3 = 3x - 9. Add 9 to both sides to move constants: 12 = 3x. Divide both sides by 3 to solve for x: x = 4. Checking by substitution: 4(4) + 3 = 19 and 7(4) - 9 = 19, so both sides match. The value of x is 4.

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