We can use the distribution property:
-2 (4x - 5) + 2x + 4 = 26
Move like terms to one side and distribute:
-2 (4x - 5) + 2x + 4 = 26
-8x + 10 + 2x + 4 = 26
-8x + 2x = 26 - 10 - 4
Simplify:
-6x = 12
Solve:
6x = -12
x = -2
Answer:
X= -2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(4x−5)+2x+4=26
(−2)(4x)+(−2)(−5)+2x+4=26(Distribute)
−8x+10+2x+4=26
(−8x+2x)+(10+4)=26(Combine Like Terms)
−6x+14=26
−6x+14=26
Step 2: Subtract 14 from both sides.
−6x+14−14=26−14
−6x=12
Step 3: Divide both sides by -6.
−6x
−6
=
12
−6
x=−2
Answer:
x=−2
