Seven values on the number line are marked with letters match the opposites

The answer to this is A and E, W and X, C and P

A is -7

E is 7

These are opposite

W is -5

X is 5

These are opposite

B is -3

C is 3

These are opposite

The answer is A

A. A and E, W and X, C and P

Step-by-step explanation:

The opposite of any number (let's call it "x") is a number which, if added to x, results in 0.

Typically is -x, because x + (-x) = x - x = 0

Knowing these, let's see the values that are marked:

A = -7

W = -5

C = -3

B = 1

P = 3

X = 5  

E = 7

The opposite of 7 is -7, so A and E are opposites.

The oposite of 5 is -5, so X and W are opposites

The opposite of 3 is -3, so P and C are opposites.

The opposite of 1 is -1, but -1 is not marked.

The correct answer is the first one.

is means division by fractions

step-by-step explanation:

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 .