How do you solve 8x + 54= 3x + 24?

2 Answers
May 15, 2018

See a solution process below:

Explanation:

First, subtract color(red)(54) and color(blue)(3x) from each side of the equation to isolate the x term while keeping the equation balanced:

8x - color(blue)(3x) + 54 - color(red)(54) = 3x - color(blue)(3x) + 24 - color(red)(54)

(8 - color(blue)(3))x + 0 = 0 - 30

5x = -30

Now, divide each side of the equation by color(red)(5) to solve for x while keeping the equation balanced:

(5x)/color(red)(5) = -30/color(red)(5)

(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = -6

x = -6

May 15, 2018

x=-6

Explanation:

Start by subtracting 3x from both sides:

5x+54=24

And subtract 54 from both sides:

5x=-30

Divide by 5:

(5x)/5=(-30)/5

x=-6