6x+7x-14=6+5x+6x

I just need help lol this is for a test

Step-by-step explanation:

combine like terms, 13x-14=6+11x

move the -14, (add it) to the other side, 13x=20+11x

move the 11x, (subtract it) to the other side, 3x=20

divide both sides by 3, x=6 2/3 (six and two thirds)

Let's solve your equation step-by-step.

6x+7x−14=6+5x+6x

Step 1: Simplify both sides of the equation.

6x+7x−14=6+5x+6x

6x+7x+−14=6+5x+6x

(6x+7x)+(−14)=(5x+6x)+(6)(Combine Like Terms)

13x+−14=11x+6

13x−14=11x+6

Step 2: Subtract 11x from both sides.

13x−14−11x=11x+6−11x

2x−14=6

Step 3: Add 14 to both sides.

2x−14+14=6+14

2x=20

Step 4: Divide both sides by 2.

2x/2 = 20/2

x=10  

the answer to this question is in the pic

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0