187k views
8 votes
Solve this

4\left(5x-2\right)=2\left(9x+3\right)

User Graffito
by
8.4k points

2 Answers

6 votes

Answer:

  • 7


\:

Explanation:

In the above question, we have to solve the equation and find the value of x. So,


\\ {\longrightarrow \pmb{\sf {\qquad 4(5x-2)=2(9x+3) }}} \\ \\

Using distributive property we get :


\\ {\longrightarrow \pmb{\sf {\qquad 20x-8=18x+6 }}} \\ \\

Adding (-18x) to both sides we get :


\\ {\longrightarrow \pmb{\sf {\qquad 20x-8 + ( - 18x)= \cancel{18x}+6 + \cancel{( - 18x) }}}} \\ \\


{\longrightarrow \pmb{\sf {\qquad 2x-8=6 }}} \\ \\

Now Adding 8 to both sides we get :


\\ {\longrightarrow \pmb{\sf {\qquad 2x-8 + 8=6 + 8 }}} \\ \\


{\longrightarrow \pmb{\sf {\qquad 2x=14 }}} \\ \\

Dividing both sides by 2 we get :


\\ {\longrightarrow \pmb{\sf {\qquad (2x)/(2) = (14)/(2) }}} \\ \\


{\longrightarrow \pmb{\frak {\qquad x=7 }}} \\ \\

Therefore,

  • The value of x is 7

User Joel Chu
by
8.9k points
5 votes

Answer:

  • Solution of equation ( x ) = 7

Explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -


\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )

Step 1 : Removing parenthesis :


\quad \longrightarrow \:20x - 8 = 18x + 6

Step 2 : Adding 8 from both sides :


\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8

On further calculations we get :


\quad \longrightarrow \:20x = 18x + 14

Step 3 : Subtracting 18 from both sides :


\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}

On further calculations we get :


\quad \longrightarrow \:2x = 14

Step 4 : Dividing with 2 on both sides :


\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{(14)/(2) }

On further calculations we get :


\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}

  • Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

  • 4 ( 5x - 2 ) = 2 ( 9x + 3 )

  • 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

  • 4 ( 35 - 2 ) = 2 ( 63 + 3 )

  • 4 ( 33 ) = 2 ( 66 )

  • 132 = 132

  • L.H.S = R.H.S

  • Hence, Verified.

Therefore, our value for x is correct .

#Keep Learning

User Arun Shankar
by
7.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories