5 (x + 7) - 3 (x - 4) = 7x + 2 what is x?

x=9

Step-by-step explanation:

5 (x + 7) - 3 (x - 4) = 7x + 2

Distribute

5x+35 - 3x + 12 = 7x + 2

2x + 47 = 7x+2

Subtract 2x from each side

2x+47-2x = 7x - 2x+2

47 = 5x+2

Subtract 2 from each side

47-2 = 5x+2-2

45 = 5x

Divide by 5

45/5 = 5x/5

9 = x

x = 9

Step-by-step explanation:

→Distribute the 5 to (x + 7), Distribute the - 3 to (x - 4):

5 (x + 7) - 3 (x - 4) = 7x + 2

5x + 35 - 3x + 12 = 7x + 2

→Add like terms:

2x + 47 = 7x + 2

→Subtract 2x from both sides:

47 = 5x + 2

→Subtract 2 from both sides:

45 = 5x

→Divide both sides by 5:

9 = x