The solution to the equation is x=−4.
To solve the equation 5(x+3)=2x+3, you can follow these steps:
Distribute the 5 on the left side of the equation:
5⋅x+5⋅3=2x+3
This simplifies to 5x+15=2x+3.
Move all the terms containing x to one side of the equation and the constant terms to the other side. You can do this by subtracting 2x from both sides and subtracting 15 from both sides:
5x−2x+15−15=2x−2x+3−15
This simplifies to 3x=−12.
Divide both sides by the coefficient of x (which is 3) to solve for x:
3x/3 = −12/3
This simplifies to x=−4.
So, the solution to the equation is x=−4.