-6 = -( x- 5) -3 ( 5+ 2x) -4 (2x -4) solve for x
x = 4/5
To solve for x in the equation -6 = -(x-5) - 3(5+2x) - 4(2x-4), follow these steps:
Step 1: Distribute the negative sign to the terms inside the parenthesis:
-6 = -x + 5 - 3(5 + 2x) - 4(2x - 4)
Step 2: Combine like terms within each parenthesis:
-6 = -x + 5 - 15 - 6x - 8x + 16
Step 3: Group the x terms together:
-6 = (-x - 6x - 8x) + (5 - 15 + 16)
Step 4: Simplify the x terms and the constant terms separately:
-6 = -15x + 6
-6 - 6 = -15x
-12 = -15x
Step 5: Divide both sides by -15 to isolate x:
-12 / -15 = -15x / -15
4/5 = x
Therefore, the solution to the equation is x = 4/5.
To solve for x in the equation -6 = -(x - 5) - 3(5 + 2x) - 4(2x - 4), we need to simplify and isolate the variable x step by step. Here's how you can do it:
Step 1: Distribute the negative sign to the terms inside the first set of parentheses:
-6 = -x + 5 - 3(5 + 2x) - 4(2x - 4)
Step 2: Distribute the 3 to the terms inside the second set of parentheses:
-6 = -x + 5 - 15 - 6x - 4(2x - 4)
Step 3: Distribute the negative sign to the terms inside the third set of parentheses:
-6 = -x + 5 - 15 - 6x - 8x + 16
Step 4: Combine like terms on both sides of the equation:
-6 = -x + 5 - 15 - 6x - 8x + 16
-6 = -15x + 6
Step 5: Move all the x terms to the left side of the equation and move the constant terms to the right side:
-15x + x = 6 + 6 - 15
-14x = -3
Step 6: Divide both sides of the equation by -14 to solve for x:
-14x / -14 = -3 / -14
x = 3/14
So, the solution to the equation -6 = -(x - 5) - 3(5 + 2x) - 4(2x - 4) is x = 3/14.