Question

Solve the following equation-
(2x + 3) - (5x - 7) / (6x + 7) = -8/3

Answer 1

Answer:

................................

Answer 2

Answer:

The value of x is

$\boxed{\red{\sf\:x\:=\:-\:\frac{86}{39}}}$

Step-by-step-explanation:

We have given that,

$\sf\:\dfrac{\:(\:2x\:+\:3\:)\:-\:(\:5x\:-\:7\:)\:}{(\:6x\:+\:7\:)\:}\:=\:-\:\dfrac{8}{3}$

We have to find the value of x.

$\therefore\sf\:\dfrac{\:(\:2x\:+\:3\:)\:-\:(\:5x\:-\:7\:)\:}{(\:6x\:+\:7\:)\:}\:=\:-\:\frac{8}{3}\\\\\implies\sf\:3\:[\:(\:2x\:+\:3\:)\:-\:(\:5x\:-\:7\:)\:] \:=\:-\:8\:(\:6x\:+\:7\:)\\\\\implies\sf\:\:(6x\:+\:9\:)\:-\:(\:15x\:-\:21\:)\:=\:-\:48x\:-\:56\\\\\implies\sf\:6x\:+\:9\:-\:15x\:+\:21\:=\:-\:48x\:-\:56\\\\\implies\sf\:-\:9x\:+\:48x\:=\:-\:56\:-\:30\\\\\implies\sf\:39x\:=\:-\:86\\\\\implies\boxed{\red{\sf\:x\:=\:-\:\frac{86}{39}}}$

Additional Information:

1. Linear Equations in One Variable:

When a equation having only one variable and degree with 1, it is called as Linear equation in one variable.

2. Solution of Linear Equation in One Variable:

The value of the variable used in the equation when put up in the equation, then LHS becomes equal to RHS, this value of variable is called as solution of Linear equation in one variable.