Check whether the given value of x in the solution to the equation.

Yes

Step-by-step explanation: Here, we want to decide

if 2 is a solution for the equation 4n - 3 = -2n + 9.

We can do this by simply plugging in 2 for n.

If the statement holds true, then 2 is a solution.

Plugging in 2 for n, we have 4(2) - 3 = -2(2) + 9.

Remember that a negative times a positive is a negative.

So we have 8 - 3 = -4 + 9.

Simplifying further, we have 5 = 5.

Notice that 5 = 5 is a true statement.

So yes, 2 is a solution for the equation 4n - 3 = -2n + 9.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.