Question

Six times the sum of a number and 4 equals 5. Please turn it into an equation :}

Answer 1

6(x+4)=5, the 6 multiplies a number which will be X and four which equals five

Answer 2

6(x + 4) = 5

Explanation:

We can break this sentence down into individual operations:

"six times" → this means 6 multiplied by some quantity

6 · ()

"the sum of a number and 4" → this is the quantity that we can put inside the parentheses (Note that "a number" is represented as a variable x, and a "sum" is the result of the addition of multiple numbers.)

6 · (x + 4)

"equals 5" → this is self-explanatory; the expression above is equal to 5

6(x + 4) = 5

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Note that multiplication with a value inside parentheses is implied.

For example,

4(5) = 4 · 5 = 20

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We can solve for x in this equation to solve for "a number".

6(x + 4) = 5

↓ applying the distributive property ... a(b + c) = (a · b) + (a · c)

6x + (6 · 4) = 5

↓ simplifying

6x + 24 = 5

↓ subtracting 24 from both sides

6x = -19

↓ dividing both sides by 6

x = -19/6