Question

3(x−1)+7=11
plz help me with this

Answer 1

Answer:

3x-3+7 = 11

3x+4 = 11

3x = 11-4

3x = 7

x = 7/3

Step-by-step explanation:

Hope it helps you....

Answer 2

Given equation:

3(x-1) + 7 = 11

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Solution:

$\implies \sf {3(x-1) + 7 = 11}$

$\implies \sf {3x-3 + 7 = 11}$

$\implies \sf {3x+4 = 11}$

$\implies \sf {3x = 11-4}$

$\implies \sf {3x = 7}$

$\implies \sf {x = \dfrac {7}{3}}$

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Verification:

On substituting the value of x as $\sf \dfrac {7}{3}$ in the equation,

$\implies \sf {3(x-1) + 7 = 11}$

$\implies \sf {3(\dfrac {7}{3} -1) + 7 = 11}$

$\implies \sf {3(\dfrac {7}{3} - \dfrac {3}{3}) + 7 = 11}$

$\implies \sf {3 \times \dfrac {4}{3} + 7 = 11}$

$\implies \sf {4 + 7 = 11}$

$\implies \sf {11 = 11}$

$\implies \sf {LHS = RHS}$

Hence Verified!

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Final answer:

$\boxed {\sf {\blue {The\ value\ of\ x\ is\ \dfrac {7}{3}.}}}$