Solve the following equation : 2(z - 5) +3 (z + 2) - (3 - 5z) =10 - Vidyadip

Question

Solve the following equation $: 2(z - 5) +3 (z + 2) - (3 - 5z) =10$

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Answer

$2(z - 5) +3 (z + 2) - (3 - 5z) =10$
$\Rightarrow 2z - 10 + 3z + 6 - 3 + 5z = 10$
$\Rightarrow 10z - 7 = 10$
$\Rightarrow 10z - 7 + 7 = 10 + 7 ...($ Adding $7$ to both sides$)$
$\Rightarrow 10z = 17$
$\Rightarrow \frac{10 z }{10}=\frac{17}{10} ($ Dividing by $7)$
$\Rightarrow z =\frac{17}{10}=1 \frac{7}{10}$

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