Question

The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?

Answer 1

-25

Explanation:

(-4 + 5n) × 3= 7n - 212

-12 + 15n = 7n - 212

8n = -200

n = -25

Answer 2

The number is -25

Explanation:

(-4 +5n)*3 = 7n-212

Distribute

-12 +15n = 7n -212

Subtract 7n from each side

-12 +15n-7n = 7n-7n -212

-12 +8n = -212

Add 12 to each side

-12+12 +8n = -212+12

8n = -200

Divide each side by 8

8n/8 = -200 /8

n =-25