Math, asked by khandelwaltanishk801, 10 hours ago

Solve the following equation: 3(x-4) + 2(2x+7) = 30​

Answers

Answered by ᎮѕуcнσAεѕтнεтíc
30

3(x - 4) + 2(2x + 7) = 30

3x - 12 + 4x + 14 = 30

3x + 4x - 12 + 14 = 30

7x + 2 = 30

7x = 30 - 2

7x = 28

x = 28/7

x = 4

Hence solved!

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Answered by Anonymous
8

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.

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SOLUTION :

\quad{\twoheadrightarrow{\sf{3(x - 4) + 2(2x + 7) = 30}}}

\quad{\twoheadrightarrow{\sf{(3 \times x - 3 \times 4) + (2 \times 2x + 2 \times 7) = 30}}}

\quad{\twoheadrightarrow{\sf{(3x - 12) + (4x + 14) = 30}}}

\quad{\twoheadrightarrow{\sf{3x - 12 + 4x + 14 = 30}}}

\quad{\twoheadrightarrow{\sf{3x  + 4x  - 12 + 14 = 30}}}

\quad{\twoheadrightarrow{\sf{7x  + 2 = 30}}}

\quad{\twoheadrightarrow{\sf{7x = 30 - 2}}}

\quad{\twoheadrightarrow{\sf{7x = 28}}}

\quad{\twoheadrightarrow{\sf{x = \dfrac{28}{7}}}}

\quad{\twoheadrightarrow{\sf{x = 4}}}

\quad{\star{\underline{\boxed{\sf{\red{x = 4}}}}}}

Hence, the value of x is 4.

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