Question

let us solve (2x+1)+3÷2×+1=4
​

Answer 1

Answer: 7/2

Step-by-step explanation:

multiply both sides by the lowest common multiple of

3 and 4 that is 12

12

4

×

x

+

1

3

1

=

12

3

×

2

x

−

1

4

1

4

(

x

+

1

)

=

3

(

2

x

−

1

)

←

distribute

4

x

+

4

=

6

x

−

3

subtract

4

x

from both sides

4

=

2

x

−

3

add 3 to both sides and divide by 2

7

=

2

x

⇒

x

=

7

2

As a check

left

=

7

2

+

2

2

3

=

9

2

3

=

9

6

=

3

2

right

=

14

2

−

2

2

4

=

6

4

=

3

2

x

=

7

2

is the solution

Answer 2

Step-by-step explanation:

$\qquad\sf{:}\longrightarrow \dfrac{2x+1+3}{2x+1}=4$

$\qquad\sf{:}\longrightarrow \dfrac{2x+4}{2x+1}=4$

$\qquad\sf{:}\longrightarrow 2x+4=4(2x+1)$

$\qquad\sf{:}\longrightarrow 2x+4=8x+4$

$\qquad\sf{:}\longrightarrow 2x-8x=4-4$

$\qquad\sf{:}\longrightarrow -6x=0$

$\qquad\sf{:}\longrightarrow x=\dfrac{-1}{6}$