90=3 (x+8) + 2x-4 what is x

Answer.

x = 14.

Step-by-step explanation:

3 (x+8) + 2x - 4 = 90

3x + 24 + 2x - 4 = 90

5x + 20 = 90

5x = 70

x = 70/5

x = 14.

x = 14

Step-by-step explanation:

Solve for x:

90 = - 4 + 2 x + 3 (x + 8)

3 (x + 8) = 3 x + 24:

90 = 3 x + 24 + 2 x - 4

Grouping like terms, 3 x + 2 x - 4 + 24 = (2 x + 3 x) + (-4 + 24):

90 = (2 x + 3 x) + (-4 + 24)

2 x + 3 x = 5 x:

90 = 5 x + (-4 + 24)

24 - 4 = 20:

90 = 5 x + 20

90 = 5 x + 20 is equivalent to 5 x + 20 = 90:

5 x + 20 = 90

Subtract 20 from both sides:

5 x + (20 - 20) = 90 - 20

20 - 20 = 0:

5 x = 90 - 20

90 - 20 = 70:

5 x = 70

Divide both sides of 5 x = 70 by 5:

(5 x) / 5 = 70/5

5/5 = 1:

x = 70/5

The gcd of 70 and 5 is 5, so 70/5 = (5*14) / (5*1) = 5/5*14 = 14:

Answer: x = 14