Question

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

Answer 1

$- 5x - 4 + 2(x - 4) = 2( - 3 - x) - 5 \\ - 5x - 4 + 2x - 8 = - 6 - 2x - 5 \\ - 5x + 2x + 2x = - 6 - 5 + 4 + 8 \\ - x = 1 \\ x = - 1$

Answer 2

-5x-4+2(x-4)=2(-3-x)-5
-5x-4+2x-8=2(-3-x)-5
-5x-4+2x-8=-6-2x-5
-3x-4-8=-6-2x-5
-3x-12=-6-2x-5
-3x-12=-11-2x
-3x+2x-12=-11
-3x+2x=-11+12
-x=-11+12
-x=-1

Answer 3

To solve the equation, let's start by simplifying both sides of the equation step-by-step:

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

Step 1: Distribute the 2 on the left side and the 2 on the right side: -5x - 4 + 2x - 8 = -6 - 2x - 5

Step 2: Combine like terms on both sides of the equation: (-5x + 2x) + (-4 - 8) = (-2x) - 11

Step 3: Simplify further: -3x - 12 = -2x - 11

Step 4: Isolate the variable x on one side of the equation. Let's move the -2x term to the left side by adding 2x to both sides: -3x - 2x - 12 = -2x - 2x - 11

Step 5: Combine like terms again: -5x - 12 = -4x - 11

Step 6: Move the constant term (-12) to the right side by adding 12 to both sides: -5x - 12 + 12 = -4x - 11 + 12

Step 7: Simplify further: -5x = -4x + 1

Step 8: Move the -4x term to the left side by subtracting 4x from both sides: -5x - (-4x) = -4x + 1 - 4x

Step 9: Combine like terms: -5x + 4x = 1

Step 10: Solve for x: -x = 1

Step 11: Finally, multiply both sides by -1 to isolate x: x = -1

So the solution to the equation is x = -1. You can verify this solution by substituting x = -1 back into the original equation and checking if both sides are equal.