Solve the equation. Check your answer.
18 = 7x + 3 -4x
To solve the equation 18 = 7x + 3 - 4x, we first combine like terms on the right side of the equation:
18 = 7x - 4x + 3
Simplifying the equation further:
18 = 3x + 3
Next, we subtract 3 from both sides of the equation:
18 - 3 = 3x + 3 - 3
Simplifying this:
15 = 3x
Finally, we divide both sides of the equation by 3 to solve for x:
15/3 = 3x/3
The solution is:
x = 5
To check our answer, we substitute x = 5 back into the original equation:
18 = 7(5) + 3 -4(5)
18 = 35 + 3 - 20
18 = 38 - 20
18 = 18
Since the equation is true, our solution of x = 5 is correct.
To solve the equation 18 = 7x + 3 - 4x, we need to simplify and isolate the variable.
First, let's combine like terms on the right side of the equation:
18 = 7x - 4x + 3
Simplifying further, we get:
18 = 3x + 3
Next, let's isolate the variable by subtracting 3 from both sides of the equation:
18 - 3 = 3x + 3 - 3
15 = 3x
Finally, we can solve for x by dividing both sides of the equation by 3:
15/3 = 3x/3
5 = x
To check if our answer is correct, substitute the value of x back into the original equation:
18 = 7(5) + 3 - 4(5)
18 = 35 + 3 - 20
18 = 38 - 20
18 = 18
Since both sides of the equation are equal, our solution is correct.
Therefore, the solution to the equation 18 = 7x + 3 - 4x is x = 5.
To solve the equation 18 = 7x + 3 - 4x, we need to simplify and isolate the variable x on one side of the equation.
First, let's combine the like terms on the right side of the equation by combining the x terms and the constant terms separately.
So, the equation becomes:
18 = (7x - 4x) + 3
To combine the x terms, we subtract 4x from 7x, which gives us:
18 = 3x + 3
Now, we subtract 3 from both sides of the equation to isolate the variable x:
18 - 3 = 3x
15 = 3x
To solve for x, divide both sides of the equation by 3:
15/3 = 3x/3
5 = x
Therefore, the solution to the equation is x = 5.
Now, let's check our answer by substituting x = 5 back into the original equation:
18 = 7(5) + 3 - 4(5)
18 = 35 + 3 - 20
18 = 38 - 20
18 = 18
Since both sides of the equation are equal when x = 5, we can conclude that our solution is correct.