Solve the expression $3x+2(x+2)=20–(2x–5)$.


Given: The given expression is  $3x+2(x+2)=20–(2x–5)$ 

To do: Solve the expression and find $x$


Solution:

$3 x + 2(x+2) = 20 – (2 x–5)$

$2(x+2)  =  2 x  +  4$                                        [multiply 2 inside the brackets]

$20 – (2 x–5)  =  20 - 2 x  + 5$                      [multiply - inside the brackets]

$3 x  +  2 x + 4  =  20 - 2 x + 5$

$3 x  +  2 x + 2 x  =  20 + 5 - 4$                    [keep variables on one side, and numbers on the other side]

$7 x  =  21$

$ x  =  \frac{21}{ 7}$ 

$x  =  3$

Therefore, the value of $x$ is 3

Updated on: 10-Oct-2022

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