Solve 3(x + 2) - 4 = 2(x - 1) + 9 – Step-by-Step Solution

Answer

\boxed{x = 5}

Substituting $5$ back into the original equation gives $3(7) - 4 = 17$ on the left and $2(4) + 9 = 17$ on the right, which confirms the solution is correct.

Problem: Solve the linear equation $3(x + 2) - 4 = 2(x - 1) + 9$ .

Steps

Distribute on both sides $3x + 6 - 4 = 2x - 2 + 9$
Combine like terms $3x + 2 = 2x + 7$
Subtract $2x$ from both sides $x + 2 = 7$
Subtract 2 from both sides $x = 5$

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Solve 3(x + 2) - 4 = 2(x - 1) + 9

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