How do you solve #5( x - 2) - ( 4x + 4) = - 4#?

Question

Isaiah Anthony · Accepted Answer

#x=10# #5(x-2)-(4x+4)=-4# #5x-10-4x-4=-4# #x-14=-4# #x=-4+14# #x=10#

Eli Assouline · Answer

#x = 10#

Here's how I did it:

#5(x-2)-(4x+4) = -4# The distribute property should be used first, which entails multiplying the value outside the parenthesis by everything inside it in order to "distribute" it. Let's look at #5(x-2)#. That means: #5 * x = 5x# #5 * -2 = -10# And when we combine them together we get #5x - 10#. Next, for #-(4x+4)#, we need to distribute the negative sign, so we get: #-4x - 4# So now the equation looks like this: #5x-10 - 4x - 4 = -4# Now we need to simplify and combine "like terms", so: #x - 14 = -4# Now we add #14# to both sides of the equation and get the value of #x#: #x = 10#

Eva Abramson · Answer

#x=10# #5(x-2) - (4x+4) = -4# Slide the brackets open. #5x - 10 - 4x -4 = -4# #5x - 4x - 10 - 4 = -4# #x - 14 = -4# Gather similar terms #x = 14 - 4# #x = 10# (Answer).

Genesis Allen · Answer

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

1. Distribute the terms inside the parentheses: 5x - 10 - 4x - 4 = -4.
2. Combine like terms: (5x - 4x) + (-10 - 4) = -4. This simplifies to x - 14 = -4.
3. Add 14 to both sides: x - 14 + 14 = -4 + 14. This gives x = 10.
4. Check the solution by substituting x = 10 back into the original equation. If both sides are equal, then the solution is correct.