Question

x+7/3x+16=4/7 the value of x is

Answer 1

Answer:

x+7/3x+16=4/7

7(x+7)=4(3x+16)

7x+49=12x+64

49-64=12x-7x

-15=5x

5x=-15

x=-15/5

x=-13

Answer 2

Given - Equation

Find - Value of x

Solution - Representing equation in fraction form-

$\frac{x + 7}{3x + 16} = \frac{4}{7}$

Performing cross multiplication to find the value of x

$7 \times (x + 7) = 4 \times (3x + 16)$

Performing multiplication of numbers with their respective brackets.

$7x + 49 = 12x + 64$

Shifting values and performing subtraction to find the value of x.

$12x - 7x = 49 - 64$

$5x = - 15$

$x = \frac{ - 15}{5}$

Performing division to find the value of x

$x = -3$

Thus, the value of x is -3.