How do you solve 4x - 2 = 2x + 84x2=2x+8?

2 Answers
Oct 22, 2016

x=5x=5

Explanation:

color(blue)(4x)color(red)(-2)=color(blue)(2x)+color(red)84x2=2x+8

Bring like terms to one side:

4x-2x=8+24x2x=8+2

2x=102x=10

Divide both sides by 22:

x=5x=5

Oct 22, 2016

x = 5x=5

Explanation:

4x - 2 = 2x + 8 4x2=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 4x22x=2x2x+8

Simplify
2x -2 = 8 2x2=8

Add 2 to each side.
2x-2 color(red)(+2 )= 8 color(red)(+2) 2x2+2=8+2

2x = 10 2x=10

Multiply each side by 1/2
2x color(red)(xx(1/2)) = 10 color(red)(xx 1/22x×(12)=10×12

x =5x=5

Check !

4x - 2 = 2x + 8 4x2=2x+8 substitute x=5 into equation

4(5) - 2 = 2(5) +84(5)2=2(5)+8
20 - 2= 10 +8 202=10+8
18 = 1818=18