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2(3x+4) = 32 show work please

Sagot :

suspho

Answer:

x = 4

Step-by-step explanation:

2(3x+4) = 32 show work please

2 * (3x + 4) = 32

6x + 8 = 32

6x = 24

x = 24 : 6

x = 4

-----------------------------

check

2 * (3 * 4 + 4) = 32

2 * 12 + 8 = 32

32 = 32

the answer is good

AadhPrit

Answer:

The value of x is 4.

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.

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

To solve this equation, we'll use this given concept :

[tex]\begin{gathered}\qquad{\twoheadrightarrow{\sf{2(3x + 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(2 \times 3x) + (2 \times 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 = \dfrac{24}{6}}}}\\\\\qquad{\twoheadrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\boxed{\sf{\purple{x = 4}}}}}\end{gathered}[/tex]

Hence, the value of x is 4.

[tex]\rule{300}{2.5}[/tex]

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