Question
Solve the equation. Check your answer.
18 = 7x + 3 -4x
Answers
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Answered by
GPT 3.5
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.
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.
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