75.8k views
4 votes
13 – 6x = 2(8 + 3x)
x= ???????

2 Answers

3 votes

Answer:

-1/4 = x

Explanation:

first, we distribute the 2 into the parenthesis

13 - 6x = 2(8 + 3x)

13 - 6x = 16 + 6x

then, we add 6x to both sides to move all of the x terms onto one side

13 - 6x = 16 + 6x

13 = 16 + 12x

next, we subtract 16 on both sides

13 = 16 + 12x

-3 = 12x

next, we divide both sides by 12 to isolate x

-3 = 12x

-3/12 = x

finally, we simplify the fraction

-3/12 = x

-1/4 = x

User Claude Martin
by
4.8k points
4 votes

Answer:


13-6x=2\left(8+3x\right)


13-6x=16+6x


13-6x-13=16+6x-13


-6x=6x+3


-6x-6x=6x+3-6x


-12x=3


(-12x)/(-12)=(3)/(-12)


x=-(1)/(4)

or


x=-0.25

User Nels Beckman
by
4.1k points