The value of x is 6 in the equation.
Step-by-step explanation:
Given equation is;
[tex]\frac{x}{6}+\frac{2x}{3}=5[/tex]
Taking least common multiple
[tex]\frac{x+4x}{6}=5[/tex]
Multiplying both sides by 6
[tex]6*\frac{5x}{6}=5*6\\5x=30[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}\\x=6[/tex]
The value of x is 6 in the equation.
Keywords: linear equation, fraction
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