Eliminate Fractions: First, we need to eliminate the fractions by finding a common denominator or by cross-multiplying.Cross-multiplication gives us:3(x−6)=4(x+9)
Cross-Multiply: Now, distribute the 3 and the 4 to the terms inside the parentheses.3×x−3×6=4×x+4×93x−18=4x+36
Distribute Terms: Next, we want to get all the x terms on one side and the constants on the other side. Let's subtract 3x from both sides to move the x terms to the right.3x−18−3x=4x+36−3x−18=x+36
Move X Terms: Now, subtract 36 from both sides to isolate x.−18−36=x+36−36−54=x
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