Question

Negative 4 (2 x + 3) = 2 x + 6 minus (8 x + 2)

Answer 1

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