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Step-by-step explanation:

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Answer:

x = [tex]\frac{6ab}{3b+2a}[/tex]

Step-by-step explanation:

Multiply through by 6ab to eliminate the fractions on the left side

6ab × [tex]\frac{x}{2a}[/tex] + 6ab × [tex]\frac{x}{3b}[/tex] = 6ab

3bx + 2ax = 6ab ( take out x as a common factor on the left side )

x(3b + 2a) = 6ab ← divide both sides by 3b + 2a

x = [tex]\frac{6ab}{3b+2a}[/tex]