How do you solve #3x + 5( x - 7) = 3( x - 5)#?

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Answer 1 · 2016-11-22T00:25:12

#x=4#

First, distribute #5# into the left set of parenthesis and #3# into the right set of parenthesis

Distribute the #5#

#5xx x=5x#
#5xx-7=-35#

#3x+5x-35=3(x-5)#

Distribute the #3#

#3 xx x=3x#
#3xx-5=-15#

#3x+5x-35=3x-15#

Combine like terms on the left

#8x-35=3x-15#

Perform the opposite operation by subtracting #3x# on both sides of the equation

#5x-35=-15#

Perform the opposite operation by adding #35# on both sides of the equation

#5x=20#

Perform the opposite operation to isolate #x# by dividing both sides of the equation by #5#

#x=4#