How do i solve this problem?
2(x-3)-3(x+5)=3(x-2)-7
what are the steps to solving this equation? HELP!!!
Multply out the parentheses and then combine terms
First step:
2x - 6 -3x -15 = 3x -6 -7
-x -21 = 3x -13
Nox add x + 13 to both sides of the equation
-8 = 4x
One more step: Divide both sides of the equation by 4.
To solve the equation 2(x-3)-3(x+5)=3(x-2)-7, follow these steps:
Step 1: Distribute the 2 and the 3 to the terms inside the parentheses:
2(x-3) = 2x - 6
-3(x+5) = -3x - 15
3(x-2) = 3x - 6
The equation becomes: 2x - 6 - 3x - 15 = 3x - 6 - 7.
Step 2: Combine like terms on both sides of the equation:
On the left side: 2x - 3x = -x
On the right side: -6 - 15 = -21
So the equation becomes: -x - 21 = 3x - 13.
Step 3: Isolate the variable on one side by moving the constant terms to the other side:
Add x and 21 to both sides of the equation:
-x + x - 21 = 3x - 13 + x
Simplifying the left side gives: -21 = 4x - 13.
Step 4: Move all terms with the variable to one side and constant terms to the other side:
Add 13 to both sides of the equation:
-21 + 13 = 4x - 13 + 13
Simplifying the left side gives: -8 = 4x.
Step 5: Solve for x by isolating x:
Divide both sides of the equation by 4:
-8/4 = 4x/4
Simplifying gives: -2 = x.
So the solution to the equation is x = -2.