Put the steps in order for solving the equation: −2(4x+8)+2x = −5x+10
within 4 steps
1. Distribute the -2 to both terms inside the parentheses: -8x - 16 + 2x = -5x + 10
2. Combine like terms on both sides of the equation: -6x - 16 = -5x + 10
3. Add 5x to both sides of the equation to eliminate the variable on the right side: -6x - 16 + 5x = 10
4. Combine like terms on the left side of the equation: -x - 16 = 10
can you answer with the following options
distribute
combine like terms
get constants together on one side
get x terms together on one side
1. Distribute: −8x - 16 + 2x = −5x + 10
2. Combine like terms: -6x - 16 = -5x + 10
3. Get constants together on one side: -6x + 5x = 10 + 16
4. Get x terms together on one side: -x = 26
are they in correct order?
Apologies for the confusion. Here are the steps in the correct order:
1. Distribute: −2(4x+8) + 2x = −5x + 10
2. Combine like terms: −8x - 16 + 2x = −5x + 10
3. Get x terms together on one side: −8x + 2x + 5x = 10 + 16
4. Get constants together on one side: -1x = 26
Can you answer it with the following answers
Distributive
Combine like terms
Division of equality
Addition of equality
To solve the equation −2(4x+8)+2x = −5x+10 in 4 steps, follow these instructions:
Step 1: Distribute the -2 to the terms inside the parentheses.
-2(4x+8) + 2x = -5x + 10
-8x - 16 + 2x = -5x + 10
Step 2: Combine like terms on each side of the equation.
(-8x + 2x) - 16 = (-5x) + 10
-6x - 16 = -5x + 10
Step 3: Move all terms containing x to one side of the equation by adding 5x to both sides.
-6x - 16 + 5x = -5x + 10 + 5x
-x - 16 = 10
Step 4: Isolate the variable by adding 16 to both sides.
-x - 16 + 16 = 10 + 16
-x = 26
The final solution is x = -26, obtained by multiplying both sides by -1 to isolate x.