Answer:
The value of x is 4.
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}](https://img.qammunity.org/2023/formulas/mathematics/high-school/oeihgfzi0pxzoj94w06led5s6gzwvlc2hr.png)
SOLUTION :
To solve this equation, we'll use this given concept :
![\begin{gathered}\qquad{\twoheadrightarrow{\sf{2(3x + 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(2 * 3x) + (2 * 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(6x) + (8) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x + 8 = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 32 - 8}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 24}}}\\\\\qquad{\twoheadrightarrow{\sf{x = (24)/(6)}}}\\\\\qquad{\twoheadrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\boxed{\sf{\purple{x = 4}}}}}\end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/v0wsa3ehf1yvz0xvony6is6ssit4sb4d5h.png)
Hence, the value of x is 4.
![\rule{300}{2.5}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4wr5wvuxv3n1yp1b1sykhxf527peu2ltxm.png)