Question

15 (x - 1) + 4 (x + 3) = 2 (7 + x)​

Answer 1

15 (x - 1) + 4 (x + 3) = 2 (7 + x)

15x-15 +4x +12 = 14 +2x

15x +4x -2x = 14 +15 -12

17x = 17

x= 1

Answer 2

Answer:

The value of x is 1.

Step-by-step explanation:

In context to questions asked

We have to determine the value of the equation,

Given that,

$15 (x - 1) + 4 (x + 3) = 2 (7 + x)$

Distribute the terms,

$=> 15 x - 15 + 4 x + 13 = 2 (7 + x)$

Add the numbers,

$=> 15 x -3+ 4 x = 2 (7 + x)$

Combine like terms,

$=> 19 x -3 = 2 (7 + x)$

Now, distribute the terms on the right side:

$=> 19 x -3 = 14 + 2x$

Rearrange the terms,

$=> 19 x -3 = 2x+14$

Add both sides by 3,

$=> 19 x -3 +3= 2x+14+3$

Simplifying it further,

$=> 19 x = 2x+14+3$

Add the numbers,

$=> 19 x = 2x+17$

Subtract 2x on both sides,

$=> 19 x -2x= 2x+17-2x$

$=> 17x= 17$

Divide both sides by 17,

=> $x = 1$

Hence, the required solution is 1.