Question

Given: 3x+1 = -14; Prove: x=-5

Answer 1

Answer: the most straight-forward way to prove this is to plug -5 in the equation as the value of x. If the the equality holds, it is proven that x=-5:

3x+1=-14       | use x=-5

3(-5)+1=-14

-15+1=-14

-14=-14  --> equality holds --> x=-5 is a solution to 3x+1=-14

Answer 2

Answer:

Given,

$3x+1=-14----(1)$

We have to prove that,

x = - 5

Subtracting 1 on both sides in equation (1), ( Subtraction property of equality )

$3x+1-1=-14-1$

$3x=-15$

Divide both sides by 3 ( division property of equality )

$x=\frac{-15}{3}$

$x=-5$

Hence, proved....