Math, asked by ayman1111, 11 months ago

solve the linear equation for 'x'

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Answered by stargirl38
0
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Answered by DynamicOfficial
4

Hey Mate,

Given Equation,

=> \frac{2x-3}{5}+\frac{x+3}{4}=\frac{2x+3}{4}

Then, On taking the LCM of 4 and 5 as 20 we get :-

=> \frac{4(2x-3)}{20}+\frac{5(x+3)}{20}=\frac{5(2x+3)}{20}

=> \frac{8x-12+5x+15}{20}=\frac{10x+15}{20}

Now, On cross - multiplying we get :-

=> 20(8x-12+5x+15)=20(10x+15)

Since, 20 is common in both LHS and RHS, we can cancel both the 20's :-

=> 8x-12+5x+15=10x+15

=> 13x+3=10x+15

=> 3x=12

=> <strong>x = 4</strong>

Therefore, x = 4 is the solution for :-

\frac{2x-3}{5}+\frac{x+3}{4}=\frac{2x+3}{4}


Hope My Answer Brings A Smile On Your Face !

^_^


DynamicOfficial: Please mark as brainliest if it helped!
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