Subtract using the number line. −1/3− 1 2/3 select the location on the number line to plot the point.

Given numbers -1/3 and -1 2/3.

On the number line first we plot -1/3.

We have negative numbers on left side of 0.

First number on left side of 0 is -1.

1/3 is the fraction third part of 1.

So, we need to plot a point on one third part between 0 and -1 from 0.

We need to add/subtract -1 2/3 into that -1/3 now.

We have 2/3 fraction with -1. So, we would move 2/3rd from 0 to -1.

We already at 1/3rd part between 0 and -1. The remaining part between 0 and -1 is 2/3rd part of 0 to -1.

So, moving -2/3 more to -1/3, we get exectly at -1.

And because we have -1 in front of 2/3 fracion in -1 2/3.

So, we would move one more number to left of -1 because we are exactly on -1 after moving -2/3rd of -1/3 point.

So, we would go exactly at -2.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

the answer is 8/21

hope this