Question

How to solve 2x + 3(5-x)-12=4(x+2) step by step

Answer 1

2x + 3(5 - x) - 12 = 4(x + 2)

1) pass: Delete the parentheses, making the multiplications.
2x + 15 - 3x - 12 = 4x + 8

2) pass: Put the numbers with incognito on the left and change the signal when changing sides if necessary, put the numbers without incognito on the right by changing the signal if necessary.
2x + 15 - 3x - 12 = 4x + 8
2x - 3x - 4x = - 15 + 12 + 8

3) pass: Solve the equations not forgetting the signal rules.
2x - 3x - 4x = - 15 + 12 + 8
- x - 4x = - 3 + 8
- 5x = 5 Simplify by (-1) Exchanging the signals
5x = - 5
$x = \frac{-5}{5}$
$\boxed{x = -1}$

I hope I have helped you, good studies!

Answer 2

2x+3(5-x)-12=4(x+2)

Distribution property:
2x+15-3x-12=4x+8
Add like terms:
-1x+3=4x+8
Add 1x to both sides:
3=5x+8
Subtract 8 from both sides:
-5=5x
Divide by 5 on both sides to get x by itself:

x= -1