Question

$\pmb{\sf{Find~the~value~of}}$$\pmb{\bf{x}}$$\pmb{\sf{in~the~above~question~:-}}$

1) 8x-9=33-4x
2) 5x+3=15-x
3) 2x+15=27-4x
4) 7x+11=3x+27​

Answer 1

$\pmb{\bf{1)}}$$\pmb{\sf{8x~-~9~=~33~-~4x}}$

$~~~~$${\sf{8x~-~9~=~33~-~4x}}$

$~~~~$${\sf{8x~+~4x~=~33~+~9}}$

$~~~~$${\sf{12x~=~42}}$

$~~~~$${\sf{x~=~\cancel\dfrac{42}{12}}}$

$~~~~$$\boxed{\sf{x~=~3.5}}$

$~$

$\pmb{\bf{2)}}$$\pmb{\sf{5x~+~3~=~15~-~x}}$

$~~~~$${\sf{5x~+~3~=~15~-~x}}$

$~~~~$${\sf{5x~+~x~=~15~-~3}}$

$~~~~$${\sf{6x~=~12}}$

$~~~~$${\sf{x~=~\cancel\dfrac{12}{6}}}$

$~~~~$$\boxed{\sf{x~=~2}}$

$~$

$\pmb{\bf{3)}}$$\pmb{\sf{2x~+~15~=~27~-~4x}}$

$~~~~$${\sf{2x~+~15~=~27~-~4x}}$

$~~~~$${\sf{2x~+~4x~=~27~-~15}}$

$~~~~$${\sf{6x~=~12}}$

$~~~~$${\sf{x~=~\cancel\dfrac{12}{6}}}$

$~~~~$$\boxed{\sf{x~=~2}}$

$~$

$\pmb{\bf{4)}}$$\pmb{\sf{7x~+~11~=~3x~+~27}}$

$~~~~$${\sf{7x~+~11~=~3x~+~27}}$

$~~~~$${\sf{7x~-~3x~=~27~-~11}}$

$~~~~$${\sf{4x~=~16}}$

$~~~~$${\sf{x~=~\cancel\dfrac{16}{4}}}$

$~~~~$$\boxed{\sf{x~=~4}}$

Answer 2

Answer:

)

1) \pmb{\sf{8x~-~9~=~33~-~4x}}

8x − 9 = 33 − 4x

8x − 9 = 33 − 4x

~~~~ {\sf{8x~-~9~=~33~-~4x}}8x − 9 = 33 − 4x

~~~~ {\sf{8x~+~4x~=~33~+~9}}8x + 4x = 33 + 9

~~~~ {\sf{12x~=~42}}12x = 42

~~~~ {\sf{x~=~\cancel\dfrac{42}{12}}}x =

12

42

~~~~ \boxed{\sf{x~=~3.5}}

x = 3.5

~

\pmb{\bf{2)}}

2)

2) \pmb{\sf{5x~+~3~=~15~-~x}}

5x + 3 = 15 − x

5x + 3 = 15 − x

~~~~ {\sf{5x~+~3~=~15~-~x}}5x + 3 = 15 − x

~~~~ {\sf{5x~+~x~=~15~-~3}}5x + x = 15 − 3

~~~~ {\sf{6x~=~12}}6x = 12

~~~~ {\sf{x~=~\cancel\dfrac{12}{6}}}x =

6

12

~~~~ \boxed{\sf{x~=~2}}

x = 2

~

\pmb{\bf{3)}}

3)

3) \pmb{\sf{2x~+~15~=~27~-~4x}}

2x + 15 = 27 − 4x

2x + 15 = 27 − 4x

~~~~ {\sf{2x~+~15~=~27~-~4x}}2x + 15 = 27 − 4x

~~~~ {\sf{2x~+~4x~=~27~-~15}}2x + 4x = 27 − 15

~~~~ {\sf{6x~=~12}}6x = 12

~~~~ {\sf{x~=~\cancel\dfrac{12}{6}}}x =

6

12

~~~~ \boxed{\sf{x~=~2}}

x = 2

~

\pmb{\bf{4)}}

4)

4) \pmb{\sf{7x~+~11~=~3x~+~27}}

7x + 11 = 3x + 27

7x + 11 = 3x + 27

~~~~ {\sf{7x~+~11~=~3x~+~27}}7x + 11 = 3x + 27

~~~~ {\sf{7x~-~3x~=~27~-~11}}7x − 3x = 27 − 11

~~~~ {\sf{4x~=~16}}4x = 16

~~~~ {\sf{x~=~\cancel\dfrac{16}{4}}}x =

4

16

~~~~ \boxed{\sf{x~=~4}}

x = 4