How do you solve #-[ x - ( - 7x + 4) ] = 6- ( - 4x + 7)#?
2 Answers
Explanation:
First, expand the equation,
Group similar terms on one side:
x to a side, numbers to a side
Explanation:
#"distribute the 'inner' bracket on the left side"#
#-[x+7x-4]=6-(-4x+7)#
#-8x+4=6+4x-7larr" distribute throughout"#
#-8x+4=4x-1larr" simplify right side"#
#"subtract 4x from both sides"#
#-8x-4x+4=cancel(4x)cancel(-4x)-1#
#rArr-12x+4=-1#
#"subtract 4 from both sides"#
#-12xcancel(+4)cancel(-4)=-1-4#
#rArr-12x=-5#
#"divide both sides by - 12"#
#(cancel(-12) x)/cancel(-12)=(-5)/(-12)#
#rArrx=5/12#
#color(blue)"As a check"# Substitute this value into the equation and if the left side equals the right side then it is the solution.
#-((8xx5/12)-4)=-(40/12-48/12)=8/12=2/3#
#6-((-4xx5/12)+7)=72/12-64/12=8/12=2/3#
#rArrx=5/12" is the solution"#