How do you solve #\frac { 2} { 5} ( x - 4) = - \frac { 4} { 5} ( x + \frac { 2} { 5} )#?

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Answer 1 · 2016-10-31T14:01:49

#x = 16/15#

To solve this problem solve for #x# while keeping the equation balanced:

#(5/2)(2/5)(x - 4) = -(4/5)(5/2)(x + 2/5)#

#x - 4 = -2(x + 2/5)#

#x - 4 = -2x - 4/5#

#x - 4 + 4 = -2x - 4/5 + 4#

#x = -2x - 4/5 + 20/5#

#x = -2x + 16/5#

#x + 2x = -2x + 2x + 16/5#

#3x = 16/5#

#(1/3)*3x = (1/3)(16/5)#

#x = 16/15#