Answer:
x=−8
Step-by-step explanation:
−4(2x+3)=2x+6−(8x+2)
−4(2x+3)=2x+6+−1(8x+2) (Distribute the Negative Sign)
−4(2x+3)=2x+6+−1(8x)+(−1)(2)
−4(2x+3)=2x+6+−8x+−2
(−4)(2x)+(−4)(3)=2x+6+−8x+−2 (Distribute)
−8x+−12=2x+6+−8x+−2
−8x−12=(2x+−8x)+(6+−2) (Combine Like Terms)
−8x−12=−6x+4
−8x−12=−6x+4 Add 6x to both sides.
−8x−12+6x=−6x+4+6x
−2x−12=4 Add 12 to both sides.
−2x−12+12=4+12
−2x=16 Divide both sides by -2.
−2x
−2
=
16
−2
x=−8