How do you solve #3x + 8+ 4x = - 8( x - 6) - 8( 13x + 5)#?

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Answer 1 · 2016-11-21T21:48:10

#x = 0#

Step 1) Expand all the terms within parenthesis:

#3x + 8 + 4x = -8x + 48 - 104x - 40#

Step 2) Consolidate like terms on each side of the equation:

#(3 + 4)x + 8 = (-8x - 104x) + (48 - 40)#

#7x + 8 = -112x + 8#

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

#7x + 8 - 8 + 112x = -112x + 8 - 8 + 112x#

#7x + 112x = 0#

#(7 + 112)x = 0 #

#119x = 0#

#(119x)/119 = 0/119#

#1x = 0#

#x = 0#