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Question:

What is the value of x in this equation? $8696_w148_h40.png$

A 9
Explaination

Always start with the given equation: $8696_w148_h40.png$
Cross-multiply denominators to eliminate each: 5(x+3)=4(2x−3)
Distribute each term through the parentheses: 5x+15=8x–12
Group similar terms by subtracting 5x from both sides, and adding 12 to both sides:
8x−5x=15+12
3x=27
Divide both sides by 3 to solve for x: $9662_w117_h13.png$
This answer can be verified by substituting it into the original equation.