How do you solve #8w-8-6w=4w-7#?

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Answer 1 · 2017-08-25T11:20:16

#w = -0.5#

#8w-8-6w=4w-7#

Collect like terms on the left-hand side:

#2w-8=4w-7#

Subtract #2w# off both sides in order to 'transfer' the operation:

#2w-8-2w=4w-7-2w#

#-8=4w-7-2w#

#-8=2w-7#

From here, 'transfer' the #-7# to the left-hand side by doing the opposite operation:

#-8+7=2w-7+7#

#-1=2w#

Divide #-1# by #2# to get: #-0.5#

So, #w=-0.5#

To check, substitute #-0.5# into the equation:

#8(-0.5)-8-6(-0.5)=-9#

#4(-0.5)-7=-9#

Ta-da! Hope this helps!