When 4 times the number increased by 30, the answer is the same as when 70 decreased by the number. What was my number?

x=8

Step-by-step explanation:

4x+30 = 70-x

Add x to each side

4x+x+30 = 70-x+x

4x+x + 30 = 70

5x + 30 = 70

Subtract 30 from each side

5x + 30 - 30 = 70-30

5x = 40

Divide each side by 5

5x/5 = 40/5

x = 8

8

Step-by-step explanation:

Read a little bit at a time.

4x + 30 is the first clause 70 - x is the second clause. These two things are equal

Equation

4x + 30 = 70 - x Subtract 30 from both sides

Solution

4x + 30 - 30 = 70 - 30 - x Collect like terms 4x = 40 - x Add x to both sides 4x + x = 40 Combine 5x = 40 Divide by 5 5x/5 = 40/5 x = 8