frac{5 x+9}{2}=12

Question

frac{5 x+9}{2}=12

Accepted Answer

Step:1 ：Multiply both sides of the equation by 2 to get rid of the fraction: (2 cdot frac{5x+9}{2} = 2 cdot 12), which simplifies to (5x + 9 = 24).Step:2 ：Subtract 9 from both sides to isolate x: (5x + 9 - 9 = 24 - 9), which simplifies to (5x = 15).Step:3 ：Divide both sides by 5 to solve for x: (frac{5x}{5} = frac{15}{5}), which simplifies to (x = 3).Step:4 ：Substitute x = 3 into the original equation to verify the solution: (frac{5 cdot 3 + 9}{2} = 12), which holds true.Step:5 ：Final Answer: (boxed{3})

Answer

Step: 1 ：Multiply both sides of the equation by 2 to get rid of the fraction: (2 cdot frac{5x+9}{2} = 2 cdot 12), which simplifies to (5x + 9 = 24).Step: 2 ：Subtract 9 from both sides to isolate x: (5x + 9 - 9 = 24 - 9), which simplifies to (5x = 15).Step: 3 ：Divide both sides by 5 to solve for x: (frac{5x}{5} = frac{15}{5}), which simplifies to (x = 3).Step: 4 ：Substitute x = 3 into the original equation to verify the solution: (frac{5 cdot 3 + 9}{2} = 12), which holds true.Step: 5 ：Final Answer: (boxed{3})

$\frac{5 x + 9}{2} = 12$

Answer

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$\frac{5 x + 9}{2} = 12$