Question

Solve this 6(x+4)+1=x+5

Answer 1

6x + 24+1= x+5
6x-x+25-5=0
5x+20=0
5x=-20
x= -20/5= -4

Answer 2

`\sf :\implies \quad {\pmb{x = - 4}}`

Solution:

Let's solve the given equation step by step ;

`\sf :\implies \quad 6(x + 4) + 1 = x + 5`

The first step is to distribute the equation:

`\sf :\implies \quad (6 * x ) + (6 * 4) + 1 = x + 5`

`\sf :\implies \quad 6x + 24 + 1 = x + 5`

`\sf :\implies \quad 6x + 25 = x + 5`

Second step is to combine the like terms:

`\sf :\implies \quad 6x + 25 - x = 5`

`\sf :\implies \quad( 6x - x) + 25 = 5`

`\sf :\implies \quad 5x + 25 = 5`

Now, subtract 25 from both sides :

`\sf :\implies \quad 5x + 25 - 25 = 5 - 25`

`\sf :\implies \quad 5x = - 20`

Divide both sides by 5:

`\sf :\implies \quad (5x)/(5) = - (20)/(5)`

`\sf :\implies \quad \boxed{ \pmb{\sf x = - 4}}`

Hence, your answer is ; x = -4