2x +8=2(x + 4) what is the answer?

2x +8=2(x + 4)

mutiply the bracket by 2

(2)(x)= 2x

(2)(4)= 8

2x+8= 2x+8

move 2x to the left side

sign changes from +2x to -2x

2x-2x+8= 2x-2x+8

0+8= 0+8

8= 8

All real numbers

There are endless solutions.

Step-by-step explanation:

2x + 8 = 2x + 8

2x - 2x = 8 - 8

0x = 0

x could be any number.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is