How do you solve 12s - 30= 16s - 70?

3 Answers
Jan 20, 2018

See a solution process below:

Explanation:

First, subtract color(red)(12s) and add color(blue)(70) to each side of the equation to isolate the s term while keeping the equation balanced:

12s - color(red)(12s) - 30 + color(blue)(70) = 16s - color(red)(12s) - 70 + color(blue)(70)

0 + 40 = (16 - color(red)(12))s - 0

40 = 4s

Now, divide each side of the equation by color(red)(4) to solve for s while keeping the equation balanced:

40/color(red)(4) = (4s)/color(red)(4)

10 = (color(red)(cancel(color(black)(4)))s)/cancel(color(red)(4))

10 = s

s = 10

Jan 20, 2018

s=10

Explanation:

first subtract 12s to 16s then you get -30=4s-70
then add 70 to -30 then divide 40/4

Jan 20, 2018

s = 10.

Explanation:

We set the entire equation equal to zero.

12s - 30 = 16s -70

We can do that by subtracting 16s and -70 from both sides. Note that subtracting a negative number is the same as adding.

12s - 30 -16s -(-70) = 0

Then we simplify:

12s -16s - 30 + 70 = 0

-4s + 40 = 0

We can then add -4s to both sides of the equation to isolate s, and divide both sides by 4 to solve for s:

40 = 4s

10 = s