k im not sure how im supposed to do this 3(x+2)= 5-2(x-3) i need to know x
3(x+2)= 5-2(x-3)
3x + 6 = 5 - 2x + 6
3x + 2x = 5 - 6 + 6
7x = 5
x = 5/7
3x + 2x=5-6+6
5x=5
x=1
To solve the given equation 3(x+2) = 5-2(x-3) for x, we will follow a step-by-step approach. Let's go through it together:
Step 1: Distribute the terms on both sides of the equation:
3(x+2) = 5 - 2(x-3)
3x + 6 = 5 - 2x + 6
Step 2: Simplify the equation further by combining like terms:
3x + 6 = 11 - 2x
Step 3: Bring all the x terms to one side of the equation and the constant terms to the other side by adding or subtracting the same quantity from both sides of the equation. In this case, we can add 2x to both sides, and subtract 6 from both sides:
3x + 2x + 6 = 11 - 2x + 2x - 6
5x + 6 = 11
Step 4: Simplify the equation further by combining like terms:
5x + 6 = 11
Step 5: Now, to isolate the x term, subtract 6 from both sides:
5x + 6 - 6 = 11 - 6
5x = 5
Step 6: Finally, solve for x by dividing both sides of the equation by 5:
5x/5 = 5/5
x = 1
Therefore, the value of x that satisfies the equation 3(x+2) = 5-2(x-3) is x = 1.