You are given: 2x+31=-7(1-3x)2x+31=−7(1−3x)
Use the distributive property to distribute the -7−7 to (1-3x)(1−3x). The equation should end up looking like this:
2x+31=-7(1-3x)2x+31=−7(1−3x)
2x+31=(-7)(1)-(-7)(3x)2x+31=(−7)(1)−(−7)(3x)
2x+31=-7+21x2x+31=−7+21x
Next, you want to get all of the variables (x)(x) on one side of the equation, and all of the number part on the other side. First subtract -7−7 from both sides; then subtract 2x2x from both sides.
2x+31=-7+21x2x+31=−7+21x
2x-(2x)+31-(-7)=-7-(-7)+21x-(2x)2x−(2x)+31−(−7)=−7−(−7)+21x−(2x)
cancel(2x-(2x))+31-(-7)=cancel(-7-(-7))+21x-(2x)
After simplifying, you should be left with:
38=19x
Divide both sides by 19 to get x by itself.
38/19=(19x)/19
2=x
