How do you solve #7( 2x - 1) = 5( x - 14)#?

Question

Avery Alexander · Accepted Answer

#x=-7# Expand the brackets #14x-7=5x-70# Subtract #5x# from both sides #9x-7=-70# Add #7#to both sides #9x=-63# Divide both sides by #9# #x=-7#

Isaiah Anthony · Answer

#x=-7#

#7(2x-1)=5(x-14)#

Distribute and multiply #7# to #2x# and #-1# to get

#14x-7=#

Then distribute and multiply #5# to #x# and #-14# to get

#=5x-70#

Put together, it will look like this

#14x-7=5x-70#

Then add #70# to #-70# and #-7# to get

#14x+63=5x#

Then subtract #14x# from #14x# and #5x# to get

#63=-9x#

Divide by #-9# on both sides to get

#-7=x#

Nathan Axel · Answer

See solution below:

First expand out the brackets: #7(2x-1) = 14x -7# and #5(x-14) = 5x - 70# Hence, the equation becomes: #14x-7=5x-70# Now rearrange to make #x# the subject: Subtract #5x# from both sides to obtain: #=> 14x-5x-7=5x-5x-70# #=> 9x-7=70# Then add 7 to both sides to isolate #x# #=> 9x-7+7=-70+7# #=> 9x = -63# Finally, divide both sides by 9 to obtain #x# #=> x=-63/9# Hence, #x=-7#

Eva Adamson · Answer

undefined To solve the equation 7(2x - 1) = 5(x - 14), first distribute the numbers outside the parentheses:

14x - 7 = 5x - 70

Next, move all terms involving x to one side of the equation and constants to the other side:

14x - 5x = -70 + 7

Combine like terms:

9x = -63

Now, isolate x by dividing both sides of the equation by 9:

x = -63 / 9

Simplify:

x = -7