Solve (x + 1)/2 = (2x - 3)/5 – Step-by-Step Solution

Answer

\boxed{-11}

Substituting $x = -11$ back into the original equation gives $\frac{-11 + 1}{2} = -5$ on the left and $\frac{2(-11) - 3}{5} = \frac{-25}{5} = -5$ on the right, confirming the solution is correct.

Problem: Solve for $x$ in the equation $\frac{x + 1}{2} = \frac{2x - 3}{5}$ .

Steps

Cross-multiply $5(x + 1) = 2(2x - 3)$
Distribute $5x + 5 = 4x - 6$
Subtract $4x$ from both sides $x + 5 = -6$
Subtract 5 from both sides $x = -11$

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Solve (x + 1)/2 = (2x - 3)/5

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