Question

6x - 7 = 3x + 17
help me with explanation plz​

Answer 1

Answer:

Step-by-step explanation:

Simplifying

6x + -7 = 3x + 17

Reorder the terms:

-7 + 6x = 3x + 17

Reorder the terms:

-7 + 6x = 17 + 3x

Solving

-7 + 6x = 17 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-7 + 6x + -3x = 17 + 3x + -3x

Combine like terms: 6x + -3x = 3x

-7 + 3x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0

-7 + 3x = 17 + 0

-7 + 3x = 17

Add '7' to each side of the equation.

-7 + 7 + 3x = 17 + 7

Combine like terms: -7 + 7 = 0

0 + 3x = 17 + 7

3x = 17 + 7

Combine like terms: 17 + 7 = 24

3x = 24

Divide each side by '3'.

x = 8

Simplifying

x = 8

Answer 2

Answer:

The value of the expression will be 8.

Step-by-step explanation:

According to the data given in the question,

We have to find the value of the expression,

Given that,

$6x - 7 = 3x + 17$

Now, add $7$ on both sides:

=> $6x - 7 +7= 3x + 17+7$

Simplifying it further, we get

=> $6x = 3x + 17 + 7$

Add the numbers,

=> $6x = 3x + 24$

Subtract both sides by $3x$,

=> $6x -3x= 3x +24-3x$

=> $3x=24$

Divide both sides by $3$,

=> $x = 8$

Hence, the required solution will be 8.