Find the Value of $x$ if $3(x-5)=-2(4-x)$

Given: $3(x-5)=-2(4-x)$

To do:  Find the Value of $x$ 

Solution:

$3 (x - 5)$  

Multiply 3 inside the brackets,

$3 x  -  15$

$-2 (4-x)$

Multiply -2 inside the brackets,

$- 8 +  2 x$

now, equate both the terms,

$3 x - 15  =  -8 + 2 x$

$3 x - 2 x   = - 8 + 15$     [bring variables on one side, and numbers on the other side]

 $x     =   7$

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Updated on: 10-Oct-2022

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