s -3(x+5)+2x=-15-x infinite ,-15,no solution or 15
To solve this equation, we will begin by simplifying both sides of the equation:
-3(x+5) + 2x = -15 - x
Next, we will distribute -3 to the terms inside the parentheses:
-3x - 15 + 2x = -15 - x
Combining like terms, we have:
-x - 15 = -15 - x
Notice that we have "-x" on both sides of the equation. By subtracting -x from both sides, we eliminate it:
-15 = -15
At this point, we can see that both sides are equal. Therefore, this equation has an infinite number of solutions.
To solve the equation -3(x+5) + 2x = -15 - x, let's simplify the equation step-by-step:
Step 1: Distribute the -3 on the left side and the -x on the right side:
-3x - 15 + 2x = -15 - x
Simplified equation: -x - 15 = -15 - x
Step 2: Rearrange the terms to isolate the variables on one side:
-x + x - 15 + 15 = -15 + x - x
Simplified equation: 0 = 0
Step 3: Since both sides of the equation are equal, this equation has an infinite number of solutions.
Therefore, the answer is: Infinite solutions.
To solve the equation -3(x+5)+2x=-15-x, you can follow these steps:
Step 1: Distribute the -3 on the left side of the equation.
-3(x+5) + 2x = -15 - x
-3x - 15 + 2x = -15 - x
Step 2: Combine like terms on the left side of the equation.
(-3x + 2x) - 15 = -15 - x
-x - 15 = -15 - x
Step 3: Add x to both sides of the equation to eliminate x from the right side.
(-x - 15) + x = (-15 - x) + x
-15 = -15
Step 4: At this point, we can see that both sides of the equation are equal (-15 = -15). This means that the equation has an infinite number of solutions. In other words, any value you substitute for x will satisfy the equation.
So, the answer is infinite solutions.