How do you solve 4x - 2 = 2x + 8?

2 Answers
Oct 22, 2016

x=5

Explanation:

color(blue)(4x)color(red)(-2)=color(blue)(2x)+color(red)8

Bring like terms to one side:

4x-2x=8+2

2x=10

Divide both sides by 2:

x=5

Oct 22, 2016

x = 5

Explanation:

4x - 2 = 2x + 8

We eleminate 2x on the right by substracting 2x from each side.
Equivalently, we can add -2x to both sides.
4x - 2 color(red)( -2x) = 2x color(red)(-2x) +8

Simplify
2x -2 = 8

Add 2 to each side.
2x-2 color(red)(+2 )= 8 color(red)(+2)

2x = 10

Multiply each side by 1/2
2x color(red)(xx(1/2)) = 10 color(red)(xx 1/2

x =5

Check !

4x - 2 = 2x + 8 substitute x=5 into equation

4(5) - 2 = 2(5) +8
20 - 2= 10 +8
18 = 18