Write and solve the equation.

The sum of a number and twelve is thirty-five.

Which equation and solution is correct?
Write the equation as x – 12 = 35 and add 12 to both sides. The answer is 47.
Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.
Write the equation as x + 12 = 35 and subtract 12 from 12. The answer is 35.
Write the equation as x – 12 = 35 and add 12 to 12. The answer is 24.

  Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.

Step-by-step explanation:

"Sum" indicates addition. So, "the sum of a number and 12" means ...

  x + 12 . . . . . . when x is used to represent "a number."

"Is" in this context means "equals". So, the direct translation from English to Math is ...

  the sum of a number and 12 is 35

  x + 12 = 35

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This is most easily solved by adding the opposite of 12 to both sides of the equation. Adding -12 is the same as subtracting 12. We do this to both sides, because that is required by the addition/subtraction property of equality.

  x +12 -12 = 35 -12

Simplifying gives the solution:

  x = 23

Comparing this process to the answer choices, we select ...

  Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions