Marla's breakfast was 525 calories. This was 35% of her total calories for the day. How many calories did she have that day?

1500

Step-by-step explanation:

525 is 35% of x, and we want to find x! (or, 100% of x)

So.

We set up an equation:

525 = 0.35x

How do we get to:

smth = 1.00x?

We divide both sides of the equation by 35, so it looks like this:

15 = 0.01x

And then we multiply both sides of the equation by 100, so it looks like this!

1500 = x

which means that Marla consumed 1500 calories that day.

Hope that helps!

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 .