Question

9-4(5-x)=3(x-1)-2
what kind of math is this like the name

Answer 1

The value of x is 6.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

• Step 1 :- we will Identify the variables and constants in the given simple equation.
• Step 2 :- then we Simplify the equation in LHS and RHS.
• Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.
• Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
• Step 5 :- Then the result will be the solution for the given linear equation.

`\begin{gathered}\end{gathered}`

Finding the value of x.

`\begin{gathered}\quad\implies{\tt{9 - 4(5 - x)=3(x - 1) - 2 }}\\\\\quad\implies{\tt{9 - (4 * 5 - 4* x)=(3 * x - 3 * 1) - 2}}\\\\\quad\implies{\tt{9 - (20 - 4x)=(3x - 3) - 2}}\\\\\quad\implies{\tt{9 - 20- 4x=3x - 3- 2}} \\\\\quad\implies{\tt{- 11 - 4x=3x - 5}}\\\\\implies{\tt{- 4x + 3x = - 11 + 5}} \\ \\\implies{\tt{-x = - 6}}\\\\ \implies{\tt{ \cancel{-}\: x = \cancel{-} 6}}\\\\\quad\implies{\tt{x = 6}}\end{gathered}`

Hence, The value of x is 6.

`\rule{300}{2.5}`

Answer 2

x = -3

Topics are listed below.

Explanation:

Topics of this question include:

• Solving equations with variables
• Distributive property
• Balancing Equations

Solve:

• 9 - 4(5 - x) = 3(x - 1) -2
• 9 - 20 + x = 3x - 3 - 2
• -11 + x = 3x - 5
• -2x = 6
• x = -3

-Chetan K