Question

Twice the sum of a number and 2 is equal to three times the difference of the number 4

Answer 1

Answer:

The number is = 16

Step-by-step explanation:

Given:

Twice the sum of a number and 2 is equal to three times the difference of the number and 4.

To find the number.

Solution:

Let the number be = $x$

The equation can be now written as:

$2(x+2)=3(x-4)$

Solving for $x$

Using distribution:

$2x+(2\times2)=3x-(3\times4)$

$2x+4=3x-12$

Adding 12 both sides.

$2x+4+12=3x-12+12$

$2x+16=3x$

subtracting $2x$ from both sides.

$2x-2x+16=3x-2x$

$16=x$

∴ $x=16$

Thus, the number is = 16