Question

If 3(x - 1) – 5(x – 3) = 3, find the value of 7x-5.

Answer 1

`\boxed{26.5}` ✅

`{\boxed{\mathcal{\red{Step-by-step\:explanation:-}}}}`

`3(x - 1) - 5(x - 3) = 3 \\ ⇝3x - 3 - 5x + 15 = 3 \\ ⇝ - 2x + 12 = 3 \\ ⇝ - 2x = 3 - 12 \\ ⇝x = ( - 9)/( - 2) \\ x = 4.5`

To verify:

`3(4.5 - 1) - 5(4.5 - 3) = 3 \\ ✒ \: 13.5 - 3 - 22.5 + 15 = 3 \\ ✒ \: 28.5 - 25.5 = 3\\✒\: 3 = 3`

✒ L. H. S. = R. H. S.

`\sf\pink{Hence\:verified.}` ✔

Now,

7
`x` - 5 = 7 x 4.5 - 5

= 31.5 - 5

= 26.5

`\sf\purple{Therefore,\:the\:value\:of\:''7\:x-\:5''\:is\:26.5.}`

`\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘`

Answer 2

36.5

Explanation:

First solve for x

Factor:

3x-3-5x+15 = 3

Combine Like Terms:

-2x+12=3

-2x = -9

x = 4.5

PLug it in:

7(4.5)-5

31.5-5

36.5