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

Question

asked Dec 4, 2023 22.5k views

2 Answers

Alican Balik · Answer 1 · 2023-12-08T02:06:57+0000

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

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