The solution is x = -6
Further Explanation:
Given equation is:
[tex]\frac{x+1}{2} = \frac{2x-3}{6}[/tex]
In order to solve these types of equations cross multiplication and simplification is used.
So,
Cross multiplying
[tex]6(x+1) = 2(2x-3)\\6x+6 = 4x-6\\6x-4x = -6-6\\2x = -12\\\frac{2x}{2} = \frac{-12}{2}\\x = -6[/tex]
Verification:
[tex]\frac{-6+1}{2} = \frac{2(-6)-3}{6}\\\frac{-5}{2} = \frac{-12-3}{6}\\\frac{-5}{2} = \frac{-15}{6}\\\frac{-5}{2} = \frac{-5}{2}[/tex]
Hence, the solution is x = -6
Keywords: Linear Equations, Fractional Linear Equations
Learn more about Linear Equations at:
- brainly.com/question/10387593
- brainly.com/question/3739260
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