Four less than the product of a number and 8 is twice the sum of the number and 10. What is the number?

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Answer 1 · 2018-04-12T00:38:04

#x=4#

Four less than the product of a number and #8#:

#8x-4#

is twice the sum of the number and #10#, so

#8x-4 = 2(x+10)#

Simplify.

#8x-4 = 2x+20#

Add #4# to both sides, which is

#8x=2x+24#

Subtract #2x# from both sides:

#6x=24#

Divide #6# from both sides to isolate the #x#

#x=4#