Question

solve 3(x+5)=6(x-1)
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Answer 1

To solve : $3 (x + 5 ) =6 (x -1 )$

Solution :

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

1. We will Identify the variables and constants in the given equation.
2. Then we differentiate the equation as LHS and RHS.
3. We take constants at RHS leaving variable at LHS.  
4. Simplify the equation using arithmetic operation as Required to find the value of $x$.
5. Then the result will be the solution for the given linear equation. By using the transposition method. we get,

• $3 (x + 5 ) =6 (x -1 )$  

        $3x + 15 = 6x -6 \\6x -3x = 15+ 6 \\3x = 21\\x = \frac{21}{3}\\x = 7$

Hence, value of $x$  is $7$.

Note  : on solving the given $3 (x + 5 ) =6 (x -1 )$  we get value of $x$ as $7$ .

Answer 2

Answer:

The value of $x$ in equation $3(x+5) = 6(x-1)$ is $7$.

Step-by-step explanation:

Given : $3(x+5) = 6(x-1)$

To find : The value of $x$.

Solution :

• It is given that the expression is,

      $3(x+5) = 6(x-1)$

• We have to find the value of $x$.
• While solving any algebraic equation, we should follow BODMAS rule.
• It states that while solving any algebraic equation, first solve B-Brackets, O-Order, D-Division, M-Multiplication, A-Addition and S-Subtraction.

• The expression is,

        $3(x+5) = 6(x-1)$

• First, solve the brackets, we get

        ∴ $3x+15 = 6x-6$

• Collect the terms with variables at one side and constant terms at other side, we get

           ∴ $6x-3x=15+6$

                  ∴ $3x=21$

                   ∴ $x=\frac{21}{3}$

                   ∴ $x=7$

• ∴ The value of $x$ in equation $3(x+5) = 6(x-1)$ is $7$.