Is there different ways to solve for 4x-5=9+2x
well, they all amount to the same thing.
add -2 x + 5 to both sides
4 x - 2 x = 9 + 5
2 x = 14
x = 7
I see two ways
4x-5=9+2x
2x = 14
x = 7
-14 = -2x
7 = x
Yes, there are different ways to solve for the variable in an equation like 4x - 5 = 9 + 2x. Let me explain two common methods you can use to solve this equation: the addition-subtraction method and the algebraic method.
1. Addition-Subtraction Method:
Step 1: Start by isolating the x terms on one side of the equation. To do this, you can subtract 2x from both sides:
4x - 2x - 5 = 9 + 2x - 2x
2x - 5 = 9
Step 2: Next, isolate the constant term on the other side of the equation. Add 5 to both sides:
2x - 5 + 5 = 9 + 5
2x = 14
Step 3: Finally, solve for x by dividing both sides of the equation by the coefficient of x, which is 2:
2x/2 = 14/2
x = 7
So the solution to the equation 4x - 5 = 9 + 2x is x = 7.
2. Algebraic Method:
Step 1: Start by isolating the x terms on one side of the equation. Subtract 2x from both sides:
4x - 2x - 5 = 9
Step 2: Combine like terms:
2x - 5 = 9
Step 3: Next, isolate the constant term on the other side of the equation. Add 5 to both sides:
2x - 5 + 5 = 9 + 5
2x = 14
Step 4: Divide both sides of the equation by the coefficient of x, which is 2:
2x/2 = 14/2
x = 7
So the solution to the equation 4x - 5 = 9 + 2x is x = 7.
Both methods will yield the same solution, but the algebraic method might be slightly faster once you're comfortable with it. It's important to remember to perform the same operations on both sides of the equation to maintain equality.