Find the value of $s$ which makes the following equation true:
$s - 5$ – { $5 - 4 + (7 \times 6 - 12 \div 3)$ } $= - 40$

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Solution

Given equation is
$s - 5 -$ { $5 - 4 + (7 \times 6 - 12 \div 3)$ } $= - 40$
We have to find the value of $s$ .
Let’s start solving this equation step by step.
Step-1: Open the round brackets first, that is,
$s - 5 -$ { $5 - 4 + 42 - 4$ } $= - 40$
Step-2: Open the curly brackets now, that is,
$s - 5 - 5 + 4 - 42 + 4 = - 40$
Step-3: Combine the like terms, that is, $s = - 40 + 5 + 5 - 4 + 42 - 4$
Step-3: Add/subtract accordingly, that is, $s = 4$
So, the value of $s$ is $4$ .

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Similar questions

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. The least value of k which makes the roots of the equation

x^{2} + 5 x + k = 0

imaginary is
(a) 4
(b) 5
(c) 6
(d) 7

Q. Which value of

“ d ”

makes the following linear equation true?

6 (d - 4) = 12

Find the equation of the line which pass through $(4, 5)$ and makes equal angles with the lines $5 y = 12 x + 6$ and $3 x = 4 y + 7$ .

Which value of $p$ makes the equation $p + 6 = 5$ true $?$

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Find the value of s which makes the following equation true: s –5 – {5 – 4+(7×6 –12÷3)} = – 40

Find the value of $s$ which makes the following equation true:
$s - 5$ – { $5 - 4 + (7 \times 6 - 12 \div 3)$ } $= - 40$