-2(5x+8)=14+6x step by step

x=-15/8

Step-by-step explanation:

Hi there!

We're given the equation -2(5x+8)=14+6x and we need to find the value of x

we do this by isolating the variable so that x is on one side, and everything else is on the other

First, we need to do the distributive property on the left, as the -2 is factored out of 5x+8 and it makes solving for x harder

-2(5x+8)=14+6x

multiply both 5x and 8 by -2

-10x-16=14+6x

add 16 to both sides to clear it from the left side (-16+16=0)

-10x-16=14+6x

      +16 +16

-10x=30+6x

subtract 6x from both sides (6x-6x=0)

-10x=30+6x

-6x         -6x

-16x=30

now, we do have x by itself, but we have -16 attached to it; we need the value of 1x, or x without any coefficient in the front of it

divide both sides by -16

x=30/-16

simplify (divide both sides by -2)

x=-15/8

we can leave it as an improper fraction

Hope this helps! :)

x = 15 / 8

Step-by-step explanation:

−2(5x+8) = 14 + 6x

Simplify both sides of the equation.

−2(5x+8) = 14 +6x

(−2)(5x) + (−2)(8) = 14 +6x (Distribute)

−10x +−16 = 14 +6x

−10x −16 = 6x +14

Subtract 6x from both sides.

−10x −16 −6x = 6x + 14 −6x

−16x −16 = 14

Add 16 to both sides.

−16x −16 +16 = 14 + 16

−16x=30

Divide both sides by -16.

-16 x / - 16 = 30/-16

Simplify ( divide RHS side by - 2 )

x = 15 / 8

is there a picture

step-by-step explanation: