Enter the value for x that makes the given equation true.
2(–2x – 4) + 6 = 5 – 3(x + 1)
To find the value of x that makes the equation true, let's solve it step by step.
Step 1: Distribute the 2 on the left side and the -3 on the right side:
-4x - 8 + 6 = 5 - 3x - 3
Step 2: Combine like terms on each side:
-4x - 2 = 2 - 3x
Step 3: Move all terms involving x to one side and the constants to the other side:
-4x + 3x = 2 + 2
Step 4: Combine like terms on both sides:
-x = 4
Step 5: To isolate x, divide both sides of the equation by -1:
x = -4
Therefore, the value of x that makes the equation true is x = -4.
To find the value of x that makes the equation true, we need to solve for x. Here's how you can do it step by step:
1. Start by distributing the coefficients through the parentheses on both sides of the equation:
2 * -2x - 2 * 4 + 6 = 5 - 3x - 3 * 1
Simplify the equation:
-4x - 8 + 6 = 5 - 3x - 3
2. Combine like terms on both sides of the equation:
-4x - 2 = 2 - 3x
3. To solve for x, we want to get all the x terms on one side of the equation. Add 3x to both sides:
-4x + 3x - 2 = 2 - 3x + 3x
Simplify the equation:
-x - 2 = 2
4. Now, we can isolate x by adding 2 to both sides:
-x - 2 + 2 = 2 + 2
Simplify the equation:
-x = 4
5. To get x alone, multiply both sides of the equation by -1:
(-1)(-x) = (-1)(4)
Simplify the equation:
x = -4
So, the value of x that makes the given equation true is x = -4.
2(–2x – 4) + 6 = 5 – 3(x + 1)
-4x-8+6 = 5-3x-3
-4x-2 = 2-3x
-x = 4
x = -4