Let the unknown number be x.
"Subtract 7 from the product of 4 and a number"
4x - 7
"the number added to 29"
x + 29
Doing the first expression results in the second expression, so the expressions are equal.
4x - 7 = x + 29
Add 7 to both sides.
4x = x + 36
Subtract x from both sides.
3x = 36
Divide both sides by 3.
x = 12
Answer: The number is 12.
Check: Subtract 7 from the product of 4 and 12:
4 * 12 - 7 = 48 - 7 = 41
12 added to 29:
12 + 29 = 41
Both expressions equal 41, so 12 is the correct value for the number.