Question

Simplify and solve the following linear equation:
2(x +5)-(x –6) = 3(x + 7) - 3​

Answer 1

Step-by-step explanation:

$2(x + 5) - (x - 6) = 3(x + 7) - 3$

$= > 2x + 10 - x + 6 = 3x + 21 - 3$

$= > x + 16 = 3x + 18$

$= > x - 3x = 1 8 - 16$

$= > - 2x = 2$

$= > x = - \frac{2}{2}$

$= > x = - 1$

Answer 2

Given:

A linear equation 2(x + 5)-(x - 6) = 3(x + 7) - 3​.

To Find:

The value of x in the given equation.

Solution:

The given problem can be solved using simple transformations.

1. The given equation is 2(x +5)-(x –6) = 3(x + 7) - 3​.

2. Solve the equation,

=> 2*x + 2*5 - x + 6 = 3*x + 21 - 3,

=> 2x + 10 - x + 6 = 3x + 21 - 3,

=> 2x -x + 10 + 6 = 3x +18,

=> x + 16 =3x + 18.

=> 16 = 3x - x + 18,

=> 16 = 2x + 18,

=> 16 - 18 = 2x,

=> -2 = 2x,

=> x = (-2)/2,

=> x = -1.

Therefore, the value of x is -1.