-4x+1-2(x-1)= -4(x-4)
-4x+1-2(x-1)= -4(x-4)
-4x + 1 - 2x + 2 = -4x + 16
-6x + 3 = -4x + 16
-2x = 13
x = -6.5
- 4 x + 1 - 2 ( x - 1 ) = - 4 ( x - 4 )
- 4 x + 1 - 2 * x - 2 * ( - 1 ) = - 4 * x - 4 * ( - 4 )
- 4 x + 1 - 2 x + 2 = - 4 x + 16
- 4 x - 2 x + 1 + 2 = - 4 x + 16
- 6 x + 3 = - 4 x + 16
- 6 x + 4 x = 16 - 3
- 2 x = 13 Divide both sides by - 2
x = 13 / - 2 = - 13 / 2
x = - 6.5
To solve the equation -4x + 1 - 2(x - 1) = -4(x - 4), we need to simplify both sides of the equation and isolate the variable x.
Step 1: Distribute the coefficients inside the parentheses.
-4x + 1 - 2x + 2 = -4x + 16
Simplifying the left side gives us:
-6x + 3 = -4x + 16
Step 2: Combine like terms on both sides of the equation.
To simplify, let's move the terms with x to one side of the equation and the constant terms to the other.
Adding 6x to both sides:
-6x + 6x + 3 = -4x + 6x + 16
3 = 2x + 16
Step 3: Subtract 16 from both sides:
3 - 16 = 2x + 16 - 16
-13 = 2x
Step 4: Divide both sides by 2:
-13/2 = 2x/2
-6.5 = x
So, the solution to the equation is x = -6.5.
To verify the answer, substitute x = -6.5 back into the original equation and see if both sides are equal.