How do you solve #−2(x − 5) = −4#?

Question

Abigail Allen · Accepted Answer

#x=7#

Begin by distributing the #-2# to #x# and #-5#

#-2(x-5)=-4 -> -2x+10=-4#

Then subtract 10 to both sides:

#-2x+cancel(10-10)=-4-10 -> -2x=-14#

Finally, divide #-2# from both sides to solve for #x#

#cancel(-2)/cancel(-2)x=-14/(-2)#

#x=7#

Eli Assouline · Answer

See the entire solution process below:

First, we need to remove the terms from parenthesis on the left side of the equation. To do this we must multiply each term within the parenthesis by the term outside the parenthesis: #color(red)(-2)(x - 5) = -4# #(color(red)(-2) * x) + (color(red)(-2) * -5) = -4# #-2x + 10 = -4# Next, subtract #color(red)(10)# from each side of the equation to isolate the #x# term while keeping the equation balanced: #-2x + 10 - color(red)(10) = -4 - color(red)(10)# #-2x + 0 = -14# #-2x = -14# Now, divide each side of the equation by #color(red)(-2)# to solve for #x# while keeping the equation balanced: #(-2x)/color(red)(-2) = (-14)/color(red)(-2)# #(color(red)(cancel(color(black)(-2)))x)/cancel(color(red)(-2)) = 7# #x = 7#

Isaiah Anthony · Answer

x=7

#-2(x)+(-2)(-5)=-4# 2. Simplify #-2x+10=-4# #-2x=-4-10# #-2x=-14# #x=(-14)/-2# #x=7# ANSWER: #x=7#

Ethan Adkins · Answer

undefined To solve the equation -2(x - 5) = -4:

1. Distribute the -2: -2x + 10 = -4
2. Subtract 10 from both sides: -2x = -14
3. Divide both sides by -2: x = 7