To solve the equation 4(x + 2) - 17 = 35, we need to first simplify the expression on the left side.
First, distribute the 4 to terms inside the parentheses: 4x + 8 - 17 = 35.
Combine like terms: 4x - 9 = 35.
Next, add 9 to both sides of the equation to isolate the term with x: 4x = 44.
Finally, divide both sides of the equation by 4 to solve for x: x = 11.
Therefore, the solution to the equation is x = 11.
Solve the following equation: 4(x + 2) – 17 = 35
(1 point)
Responses
–11
–11
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15
15
11
11
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7 answers
Solve the following equation: 6x + 12 = 4x – 18
(1 point)
Responses
–15
–15
15
15
–3
–3
3
3
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(1 point)
Responses
–15
–15
15
15
–3
–3
3
3
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To solve the equation 6x + 12 = 4x - 18, we need to isolate the term with x on one side of the equation.
First, combine like terms by subtracting 4x from both sides: 6x - 4x + 12 = 4x - 4x - 18.
This simplifies to 2x + 12 = -18.
Next, subtract 12 from both sides: 2x + 12 - 12 = -18 - 12.
This simplifies to 2x = -30.
Finally, divide both sides of the equation by 2 to solve for x: x = -15.
Therefore, the solution to the equation is x = -15.
First, combine like terms by subtracting 4x from both sides: 6x - 4x + 12 = 4x - 4x - 18.
This simplifies to 2x + 12 = -18.
Next, subtract 12 from both sides: 2x + 12 - 12 = -18 - 12.
This simplifies to 2x = -30.
Finally, divide both sides of the equation by 2 to solve for x: x = -15.
Therefore, the solution to the equation is x = -15.
Solve the following equation: (4x – 10) + 5 = x – 11
(1 point)
Responses
11
11
6
6
–11
–11
–6
–6
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(1 point)
Responses
11
11
6
6
–11
–11
–6
–6
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To solve the equation (4x - 10) + 5 = x - 11, we need to first simplify the expression on both sides.
First, simplify the left side: 4x - 10 + 5 = x - 11.
Combine like terms on the left side: 4x - 5 = x - 11.
Next, subtract x from both sides to isolate the term with x: 4x - x - 5 = x - x - 11.
This simplifies to 3x - 5 = -11.
Next, add 5 to both sides of the equation: 3x - 5 + 5 = -11 + 5.
This simplifies to 3x = -6.
Finally, divide both sides of the equation by 3 to solve for x: x = -6/3.
Therefore, the solution to the equation is x = -2.
First, simplify the left side: 4x - 10 + 5 = x - 11.
Combine like terms on the left side: 4x - 5 = x - 11.
Next, subtract x from both sides to isolate the term with x: 4x - x - 5 = x - x - 11.
This simplifies to 3x - 5 = -11.
Next, add 5 to both sides of the equation: 3x - 5 + 5 = -11 + 5.
This simplifies to 3x = -6.
Finally, divide both sides of the equation by 3 to solve for x: x = -6/3.
Therefore, the solution to the equation is x = -2.
-2 is not a answer
Apologies for the mistake. Let's solve the equation again.
To solve the equation (4x - 10) + 5 = x - 11, we need to first simplify the expression on both sides.
First, simplify the left side: 4x - 10 + 5 = x - 11.
Combine like terms on the left side: 4x - 5 = x - 11.
Next, subtract x from both sides to isolate the term with x: 4x - x - 5 = x - x - 11.
This simplifies to 3x - 5 = -11.
Next, add 5 to both sides of the equation: 3x - 5 + 5 = -11 + 5.
This simplifies to 3x = -6.
Finally, divide both sides of the equation by 3 to solve for x: x = -6/3.
x = -6/3 simplifies to x = -2.
Therefore, the solution to the equation is x = -2.
To solve the equation (4x - 10) + 5 = x - 11, we need to first simplify the expression on both sides.
First, simplify the left side: 4x - 10 + 5 = x - 11.
Combine like terms on the left side: 4x - 5 = x - 11.
Next, subtract x from both sides to isolate the term with x: 4x - x - 5 = x - x - 11.
This simplifies to 3x - 5 = -11.
Next, add 5 to both sides of the equation: 3x - 5 + 5 = -11 + 5.
This simplifies to 3x = -6.
Finally, divide both sides of the equation by 3 to solve for x: x = -6/3.
x = -6/3 simplifies to x = -2.
Therefore, the solution to the equation is x = -2.