Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. she left out the description for the last step.

what is the missing step of her solution?

add 10.4 to both sides.
add negative 10.4 to both sides.
multiply both sides of the equation by 10.4.
divide both sides of the equation by 10.4.

I believe dividing is always the last step.

Option 4th is correct  the last step would be divide by 10.4 to get the value of x.

Step-by-step explanation:

We have been given an expression:

2.3+8(1.3x-4.75) =629.9  

We will solve the above equation for x

First distribute the parenthesis  over 8 we get:

2.3+10.4x -38=629.9

Now, subtract 2.3 on right hand side of the above equation we get:

10.4 x -38 =629.9-2.3

10.4 x=627.6+38

10.4 x=665.6

Hence, the last step would be divide by 10.4 to get the value of x

therefore, option 4th is correct.

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 .