simplify both sides of the following equations as much as possible and the solve:
4x+2-3x=4+1
4x+2-3x=4+1
x = 3
4x+2-3x=4+1
4x + 2 - 3x = 5
4x + -3x = x
x + 2 = 5
x + 2 - 2 = 5 - 2
x = 3
To solve the equation 4x + 2 - 3x = 4 + 1, we need to simplify both sides of the equation first.
On the left side of the equation, we have 4x + 2 - 3x. To simplify this, we combine like terms. This means combining the x terms and the constant terms separately.
For the x terms, we have 4x - 3x. This simplifies to x.
For the constant terms, we have 2. Since there are no other constant terms on the left side, we can write it as it is.
Now, the left side of the equation becomes x + 2.
On the right side of the equation, we have 4 + 1. This simplifies to 5.
Now, our equation becomes:
x + 2 = 5
To solve for x, we need to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation. In this case, we want to get rid of the +2 on the left side, so we subtract 2 from both sides of the equation.
x + 2 - 2 = 5 - 2
On the left side, the 2 and -2 cancel each other out, leaving us with just x.
x = 5 - 2
On the right side, 5 - 2 is equal to 3.
x = 3
So, the solution to the equation 4x + 2 - 3x = 4 + 1 is x = 3.