A box had twice as many grapes as a basket. Once 2 kg of grapes were added to the basket, it contained 0.5 kg more than the box. How many kilograms of grapes are in the basket now?

3.5 kg  - in a basket now

Step-by-step explanation:

x kg - in a basket

2x kg - in a box

(x + 2) - in a basket now

(x + 2) - 2x = 0.5

x + 2 - 2x = 0.5

- x = 0.5 - 2

x = 1.5

x + 2 = 1.5 + 2 = 3.5 kg - in a basket now

3.5 kg

Step-by-step explanation:

Box- 2x

Basket- x

After adding 2 kg to the basket:

x+2= 1.5+2= 3.5 kg

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'.

80 the answer is 80

step-by-step explanation: