How do you solve #3(1-3x)=2(-4x+7)#?

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Answer 1 · 2017-11-06T06:19:34

#x=-11#

First, expand both sides of the equation.

#3-9x=-8x+14#

Make sure that the variable, x, is only on one side of the equation. Add 9x to each side.

#3 -9x +9x = -8x +14 +9x#

#3 = 14 +x#

Subtract 14 from both sides.

#3-14=14+x-14#
#-11=x#

Check the solution:
#3(1-3[-11])=2(-4[-11]+7)#
#3(1--33)=2(44+7)#
#3(1+33)=2(44+7)#
#3(34)=2(51)#
#102=102#