How do you solve #7x = - 2x + 5x + 25#?

1 Answer
Dec 21, 2016

#x = 25/4#

Explanation:

First, combine the like terms on the right side of the equation:

#7x = (-2 + 5)x + 25#

#7x = 3x + 25#

Now, isolate the #x# terms on the left side of the equation and the constants on the right side of the equation while keeping the equation balanced:

#7x - color(red)(3x) = 3x + 25 - color(red)(3x)#

#(7 - 3)x = 3x - 3x + 25#

#4x = 0 + 25#

#4x = 25#

Next, solve for #x# while keeping the equation balanced:

#(4x)/color(red)(4) = 25/color(red)(4)#

#(color(red)(cancel(color(black)(4)))x)/color(red)(cancel(color(black)(4))) = 25/4#

#x = 25/4#