Solve the following:

1) 3x + 5 = 19 - 4x

2) 4 (x-3) = 2 (x-2)

1. 7x + 5 = 19

7x = 14

x = 2

2. 4x - 12 = 2x - 4

2x - 12 = - 4

2x = 8

x = 4

x = 2 and x = 4

Step-by-step explanation:

(1)

3x + 5 = 19 - 4x (add 4x to both sides)

7x + 5 = 19 (subtract 5 from both sides)

7x = 14 (divide both sides by 7)

x = 2

(2)

4 (x - 3) = 2 (x - 2) ← distribute parenthesis on both sides

4x - 12 = 2x - 4 (subtract 2x from both sides)

2x - 12 = - 4 (add 12 to both sides)

2x = 8 (divide both sides by 2)

x = 4