How do you solve #8( 2x - 3) = 2( 3x - 2)#?

1 Answer
Tony B
Sep 21, 2016

#x=2#

Explanation:

Given:#" "8(2x-3)=2(3x-2)#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Taking it one step at a time instead of several at once and using first principles.

Divide both sides by 2

#8/2(2x-3)=2/2(3x-2)#

#4(2x-3)=3x-2#

#8x-12=3x-2#

Add 2 to both sides

#8x-10=3x#

subtract 3x from both sides

#5x-10=0#

Add 10 to both sides

#5x=10#

Divide both sides by 5

#x=2#

#color(brown)("With practice and doing some of it in your head, this type")##color(brown)("of calculation will become faster. You will begine to skip steps.")#

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