5(2x-3)-3(3x-7)=5
first step: expand to lose the parentheses:
10x-15-9x+21 = 5
Think you can take it from there?
14
To solve the equation 5(2x-3)-3(3x-7)=5, you need to simplify both sides of the equation and then isolate the variable x.
Let's break it down step by step:
Starting with the left side of the equation:
5(2x-3) - 3(3x-7) = 5
First, distribute the 5 and -3 to the terms inside the parentheses:
10x - 15 - 9x + 21 = 5
Combine like terms:
(10x - 9x) + (21 - 15) = 5
x + 6 = 5
Now, let's move on to the right side:
The right side of the equation is simply 5.
Now, we can isolate the variable x by getting rid of the constant term on the left side (6) by subtracting it from both sides of the equation:
x + 6 - 6 = 5 - 6
x = -1
Therefore, the solution to the equation is x = -1.