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

1 Answer
Jim G.
May 24, 2018

#x=0#

Explanation:

#"distribute brackets on both sides of the equation"#

#x-8x-6=3x-6#

#-7x-6=3x-6#

#"subtract "3x" from both sides"#

#-7x-3x-6=cancel(3x)cancel(-3x)-6#

#-10x-6=-6#

#"add 6 to both sides"#

#-10x=-6+6=0rArrx=0#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left side "=0-2(0+3)=0-6=-6#

#"right side "=3(0-2)=3xx-2=-6#

#x=0" is the solution"#

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