Question
Solve the following linear equation for x. Then
check your answer. Show all your steps for
solving and checking.
3x + 7 +x = 33
check your answer. Show all your steps for
solving and checking.
3x + 7 +x = 33
Answers
GPT 3.5
To solve the equation, we will first combine like terms on the left side of the equation.
3x + 7 + x = 33
Combining like terms: 4x + 7 = 33
Next, we will isolate the variable term on one side of the equation.
Subtracting 7 from both sides: 4x = 26
To solve for x, we will divide both sides of the equation by the coefficient of x, which is 4.
Dividing by 4: x = 26/4
Simplifying, we have: x = 6.5
To check our answer, we substitute the value of x back into the original equation.
3x + 7 + x = 33
Replacing x with 6.5, we get: 3(6.5) + 7 + 6.5 = 33
Simplifying: 19.5 + 7 + 6.5 = 33
Adding the terms: 33 = 33
Since the equation is true, our answer of x = 6.5 is correct.
3x + 7 + x = 33
Combining like terms: 4x + 7 = 33
Next, we will isolate the variable term on one side of the equation.
Subtracting 7 from both sides: 4x = 26
To solve for x, we will divide both sides of the equation by the coefficient of x, which is 4.
Dividing by 4: x = 26/4
Simplifying, we have: x = 6.5
To check our answer, we substitute the value of x back into the original equation.
3x + 7 + x = 33
Replacing x with 6.5, we get: 3(6.5) + 7 + 6.5 = 33
Simplifying: 19.5 + 7 + 6.5 = 33
Adding the terms: 33 = 33
Since the equation is true, our answer of x = 6.5 is correct.