Question

1/2×(x+x+16)×15=300

solve for X​

Answer 1

Given equation is $\frac{1}{2} \times (x+x+16)\times 15=300$

We given have to find the values of x

$\frac{1}{2} \times (x+x+16)\times 15=300$

first of solving the bracket terms i.e

$=x+x+16\\=2x+16$

after that $2x+16$ is multiplying by $15$ we get, $30x+240$

dividing $\frac{1}{2} by$ $( 30x+240)$ and adding both terms, we get

$15x+120=300$

Subtracting $120$ from $300$,we get $180$

$x=\frac{180}{15}$

$x=12$

Therefore, the value of x is equal to $12$.

Answer 2

Answer:

The value of $x$ is $12$.

Step-by-step explanation:

Given : $\frac{1}{2} *(x+x+16)*15=300$

To find : The value of $x$.

Solution :

• The given equation is, $\frac{1}{2} *(x+x+16)*15=300$  
• We have to find the value of $x$.
• To find the value of $x$, we have to use BODMAS rule.
• BODMAS Rule states that while solving any algebraic expressions, first solve B-Brackets, O-Order, D-Division, M-Multiplication, A-Addition and S-Subtraction.

• Now, the expression is,

    $\frac{1}{2} *(x+x+16)*15=300$

• Solve the bracket first, we get

    $\frac{1}{2} *(2x+16)*15=300$  

• Transpose $2$ to other side, we get

        ∴ $(2x+16)*15=300*2$

              ∴ $30x+240=600$

• Transpose $240$ to the other side, we get

              ∴ $30x=600-240$

                ∴ $30x=360$

• Transpose $240$ to the other side, we get    

                 ∴ $x=\frac{360}{30}$

                   ∴ $x=12$

• ∴ The value of $x$ is $12$.