How do you solve #3( 2x - 7) = - 13+ 43# ?

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Answer 1 · 2018-05-05T19:08:03

#x = 17/2# (fraction) or #8.5# (decimal form)

#3(2x-7) = -13 + 43#

First, simplify the right side:
#3(2x-7) = 30#

Divide both sides by #color(blue)3#:
#(3(2x-7))/color(blue)3 = 30/color(blue)3#

#2x - 7 = 10#

Add #color(blue)7# to both sides of the equation:
#2x - 7 quadcolor(blue)(+quad7) = 10 quadcolor(blue)(+quad7)#

#2x = 17#

Divide both sides by #color(blue)2#:
#(2x)/color(blue)2 = 17/color(blue)2#

#x = 17/2# (fraction) or #8.5# (decimal form)