Let's solve each equation step by step:
1) 2x - 2 = 6 + 4xSubtract 4x from both sides2x - 4x - 2 = 6-2x - 2 = 6Add 2 to both sides-2x = 8x = -4
2) 2x + 6 = 4x - 2Subtract 2x from both sides6 = 2x - 2Add 2 to both sides8 = 2xx = 4
3) -4x - 4 = 2x + 8Add 4x to both sides-4 = 6x + 8Subtract 8 from both sides-12 = 6xDivide by 6x = -2
4) 4x - 2 = 2x + 7Subtract 2x from both sides2x - 2 = 7Add 2 to both sides2x = 9Divide by 2x = 4.5
Therefore, the solutions to the equations are:1) x = -42) x = 43) x = -24) x = 4.5
Let's solve each equation step by step:
1) 2x - 2 = 6 + 4x
Subtract 4x from both sides
2x - 4x - 2 = 6
-2x - 2 = 6
Add 2 to both sides
-2x = 8
x = -4
2) 2x + 6 = 4x - 2
Subtract 2x from both sides
6 = 2x - 2
Add 2 to both sides
8 = 2x
x = 4
3) -4x - 4 = 2x + 8
Add 4x to both sides
-4 = 6x + 8
Subtract 8 from both sides
-12 = 6x
Divide by 6
x = -2
4) 4x - 2 = 2x + 7
Subtract 2x from both sides
2x - 2 = 7
Add 2 to both sides
2x = 9
Divide by 2
x = 4.5
Therefore, the solutions to the equations are:
1) x = -4
2) x = 4
3) x = -2
4) x = 4.5