How do you solve #0.5( x + 2) = 0.9x + 0.2#?

1 Answer
Nov 23, 2016

#x = 2#

Explanation:

Step 1) Expand the term within parenthesis:

#0.5x + 0.5*2 = 0.9x + 0.2#

#0.5x + 1 = 0.9x + 0.2#

Step 2) Isolate the #x# terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

#0.5x + 1 - 0.5x - 0.2 = 0.9x + 0.2 - 0.5x - 0.2#

#1 - 0.2 = 0.9x - 0.5x#

#0.8 = 0.4x#

Step 3) Solve for #x# while keeping the equation balanced:

#0.8/0.4 = (0.4x)/0.4#

#2 = x#