Solve the linear equation: x+x+2+x+4+x+6=-28. State the property that justifies your first step and why you chose it.
When I solved the equation I got the answer of
×=-10. However, I do not know what the property I need to state for my first step. Isn't it subtraction property of equality?
please help!!
combine like terms
4 x + 12 = -28
4 x = - 40
x = -10
a game is watch by 60 adults and some are children. if there are 20 more adults than children how many children are watching the game
Yes, you are correct! The property you used for your first step in solving the equation is the subtraction property of equality. This property states that if you subtract the same value from both sides of an equation, the equality is still maintained.
In this case, you chose to subtract -2 from both sides of the equation. By doing so, you simplified the equation to: x + x + 4 + x + 6 + x + 8 = -28 - 2.
Simplifying further, you have: 4x + 18 = -30.
From there, you can continue to solve for x: subtract 18 from both sides to isolate 4x, then divide both sides by 4.
I hope this helps! Let me know if you have any more questions.
To solve the linear equation x + x + 2 + x + 4 + x + 6 = -28, we can simplify the left side of the equation by combining like terms.
Step 1: Combine the like terms on the left side of the equation.
4x + 12 = -28
To justify this step, we can state the property used as the "Combining Like Terms Property." This property allows us to add or subtract like terms together. In this case, we are adding the terms with the variable x together.
Step 2: Solve for x by isolating the variable.
4x = -28 - 12
4x = -40
Now, to find the value of x, we can divide both sides of the equation by 4.
Step 3: Divide both sides of the equation by 4.
x = -40 / 4
x = -10
Therefore, the solution to the linear equation x + x + 2 + x + 4 + x + 6 = -28 is x = -10.