2 (x-3)-3(x+5) = 3(x-2) -7
distributive property
2x -6 -3x -15 = 3x -6 -7
combine like terms
-x -21 = 3x -13
add x and 13 to both sides
-7 = 4x
multiply both sides by 1/4
-7/4 = x
To solve the equation 2(x-3)-3(x+5) = 3(x-2) -7, follow these steps:
Step 1: Apply the distributive property to the equation:
2(x-3)-3(x+5) = 3(x-2) -7
This gives us:
2x - 6 - 3x - 15 = 3x - 6 - 7
Step 2: Combine like terms on both sides of the equation:
- x - 21 = 3x - 13
Step 3: To isolate the variable x, we need to get rid of the constant terms on both sides of the equation. Add x and 13 to both sides:
- x - 21 + x + 13 = 3x - 13 + x + 13
This simplifies to:
- x + x -21 + 13 = 3x + x
Combine like terms on both sides:
- 8 = 4x
Step 4: To solve for x, divide both sides of the equation by 4:
- 8 / 4 = 4x / 4
This simplifies to:
- 2 = x
Therefore, the solution to the equation is x = -2.