How do you solve 2x + 38= 11x - 612x+38=11x61?

1 Answer
Jun 20, 2018

See a solution process below:

Explanation:

First, subtract color(red)(2x)2x and add color(blue)(61)61 to each side of the equation to isolation the xx term while keeping the equation balanced:

2x - color(red)(2x) + 38 + color(blue)(61) = 11x - color(red)(2x) - 61 + color(blue)(61)2x2x+38+61=11x2x61+61

0 + 99 = (11 - color(red)(2))x -00+99=(112)x0

99 = 9x99=9x

Now, divide each side of the equation by color(red)(9)9 to solve for xx while keeping the equation balanced:

99/color(red)(9) = (9x)/color(red)(9)999=9x9

11 = (color(red)(cancel(color(black)(9)))x)/cancel(color(red)(9))

11 = x

x = 11