what steps would you take to answer
2(x-3)-17=13-3(x+2)
2(x-3)-17 = 13-3(x+2)
First distribute to get
2x-6-17= 13-3x-6
2x-23=7-3x
+3x on each side and add 23 on each side
to get 5x= 30 divide by 5 on each side to get ur final answer of x=6
Get rid of the parentheses.
2x-6-17 = 13-3x-6
Add 3x and 23 to both sides.
5x = 30
Can you take it from here?
To solve the equation 2(x-3)-17=13-3(x+2), follow these steps:
Step 1: Simplify both sides
Start by distributing the 2 and the -3 on the left side and the -3 and the 2 on the right side of the equation:
2x - 6 - 17 = 13 - 3x - 6
Simplifying further, combine like terms on both sides:
2x - 23 = 7 - 3x
Step 2: Move all the variables to one side
To do this, you can add 3x to both sides:
2x + 3x - 23 = 7 - 3x + 3x
Simplifying further gives:
5x - 23 = 7
Step 3: Move all constants to the other side
Add 23 to both sides of the equation:
5x - 23 + 23 = 7 + 23
Simplifying further gives:
5x = 30
Step 4: Solve for x
To isolate x, divide both sides by 5:
5x/5 = 30/5
Simplifying further gives:
x = 6
So, the solution to the equation 2(x-3)-17=13-3(x+2) is x = 6.