Question

2z+7/5-3z+11/2=2z+8/3-5

Answer 1

Answer
put all expression of z on one side remaing other on other side

2z -3z -2z = -7/5 -11/2 +8/3 -5
take lcm
-3z = -42-165+80-150/30
z = 327/3   - got cancelled
  ans
z = 109

Answer 2

Answer:

Value of z is 277/90.

Step-by-step explanation:

Given Expression:

$2z+\frac{7}{5}-3z+\frac{11}{2}=2z+\frac{8}{3}-5$

To find: Value of z

Consider,

$2z+\frac{7}{5}-3z+\frac{11}{2}=2z+\frac{8}{3}-5$

First we simplify both sides separately.

$2z-3z+\frac{7}{5}+\frac{11}{2}=2z+\frac{8}{3}-\frac{15}{3}$

$(2-3)z+\frac{14}{10}+\frac{55}{10}=2z+\frac{8-15}{3}$

$-z+\frac{14+55}{10}=2z-\frac{7}{3}$

$-z+\frac{69}{10}=2z-\frac{7}{3}$

Now, we collect like term on same side that is variable terms in LHS and Constant in RHS.

$-z-2z=-\frac{7}{3}-\frac{69}{10}$

$(-1-2)z=-\frac{70}{30}-\frac{207}{30}$

$-3z=\frac{-70-207}{30}$

$-3z=\frac{-277}{30}$

$z=\frac{-277}{30\times(-3)}$

$z=\frac{277}{90}$

Therefore, Value of z is 277/90