Solve the following:$3(5 z-7)-2(9 z-11)=4(8 z-13)-17$.

Academic Mathematics NCERT Class 8

Given :

The given expression is $3(5z-7)-2(9z-11) = 4(8z-13)-17$.

To do :

We have to find the value of $z$.

Solution :

$3(5z-7)-2(9z-11) = 4(8z-13)-17$

$3(5z)-3(7)-2(9z)-2(-11) = 4(8z)-4(13)-17$

$15z-21-18z +22 = 32z-52-17$

$-3z+1 = 32z-69$

$32z+3z = 1+69$

$35z = 70$

$z = \frac{70}{35}$

$z = 2$.

The value of $z$ is 2.

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Updated on: 10-Oct-2022

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