if anyone can help explain what im doing wrong, id appreciate it. thanks.
4x+3=-3+2x+14
4x=3=11=2x
-4x -4x
3=11+6x
-11 -11
x=6
I don't know what you did in your first step with 3 equal signs.
4x+3=-3+2x+14
Combine like terms:
4x - 2x + 3 - 3 = -3 + 2x - 2x + 14
2x = 8
x = 4
4x - 2x + 3 - 3 = -3 + 3 + 2x - 2x + 14
To solve the equation 4x + 3 = -3 + 2x + 14, you need to combine like terms and isolate the variable x.
Step 1: Start by combining like terms on both sides of the equation.
On the left side, we have 4x + 3, and on the right side, we have -3 + 2x + 14.
Combine like terms: 4x + 3 = 2x + 11.
Step 2: Next, move all x terms to one side of the equation.
To do this, subtract 2x from both sides of the equation:
4x + 3 - 2x = 2x + 11 - 2x
Simplify the equation: 2x + 3 = 11.
Step 3: Now, isolate the variable x by subtracting 3 from both sides of the equation:
2x + 3 - 3 = 11 - 3
Simplify the equation: 2x = 8.
Step 4: Divide both sides of the equation by 2 to solve for x:
(2x)/2 = 8/2
Simplify the equation: x = 4.
Therefore, the value of x that satisfies the equation 4x + 3 = -3 + 2x + 14 is x = 4.
It seems like in your solution, you made some errors while solving the equation. Make sure to double-check your calculations and follow each step carefully to arrive at the correct solution.