(2x-6)-(3x-4)=-(-4+x)-4x+6 the answer is 3 but i don't understand how you get it
(2x-6)-(3x-4)=-(-4+x)-4x+6
2x -6 -3x + 4 = 4 -x -4x +6
-x -2 = -5x + 10
-x +5x -2 = -5x +5x + 10
4x -2 =10
4x -2 + 2 = 10 + 2
4x = 12
4x/4 = 12/4
x = 3
( 2 x - 6 ) - ( 3 x - 4 ) = - ( - 4 + x ) - 4 x + 6
2 x - 6 - 3 x - ( - 4 ) = - ( - 4 ) + ( - x ) - 4 x + 6
2 x - 6 - 3 x + 4 = 4 - x - 4 x + 6
2 x - 3 x - 6 + 4 = 4 + 6 - x - 4 x
- x - 2 = 10 - 5 x Add 5 x to both sides
- x - 2 + 5 x = 10 - 5 x + 5 x
4 x - 2 = 10 Add 2 to both sides
4 x - 2 + 2 = 10 + 2
4 x = 12 Divide both sides by 4
x = 12 / 4
x = 3
To solve the equation (2x - 6) - (3x - 4) = -(-4 + x) - 4x + 6 and find the value of x, we need to simplify both sides of the equation and combine like terms.
Let's start by simplifying each side step by step:
1. Simplifying the left side:
(2x - 6) - (3x - 4)
Remove the parentheses by distributing the negative sign to each term inside the second set of parentheses:
2x - 6 - 3x + 4
Combine like terms:
(2x - 3x) + (-6 + 4)
-x - 2
2. Simplifying the right side:
-(-4 + x) - 4x + 6
Remove the negative sign inside the parentheses by changing the signs of each term:
-1*(-4) + (-1)*x - 4x + 6
Simplify:
4 - x - 4x + 6
Combine like terms:
(4 - 4x) + (-x + 6)
-4x - x + 10
-5x + 10
Now, the equation becomes:
-x - 2 = -5x + 10
To solve this equation for x, we need to isolate the x term on one side. Let's do that:
Add 5x to both sides:
-x - 2 + 5x = -5x + 10 + 5x
Combine like terms:
4x - 2 = 10
Add 2 to both sides:
4x - 2 + 2 = 10 + 2
Simplify:
4x = 12
Divide both sides by 4 to solve for x:
(4x)/4 = 12/4
Simplify:
x = 3
Therefore, x = 3 is the solution to the equation (2x - 6) - (3x - 4) = -(-4 + x) - 4x + 6.