Create an equation modeling the scenario. use the equation to solve for the missing number. in your final answer, include the equation and all necessary calculations.

twice the sum of a number and seven is three times the number.

answer:

the equation of given expression is 2(x+ 7) = 3x and the number is 14.

step-by-step explanation:

given : expression "twice the sum of a number and seven is three times the number."

we have to write the given expression first in equation form and then solve for the number.

consider the given expression "twice the sum of a number and seven is three times the number."

let the number be x , then

the sum of a number and seven written mathematically as x + 7

twice the sum of a number and seven written mathematically as 2(x + 7)

also, three times the number written mathematically as   3x

thus, the equation of given expression becomes,

2(x+ 7) = 3x

solve for x, we have,

2x + 14 = 3x

subtract 2x both side, we have,

3x - 2x = 14

x = 14

thus, the number is 14.

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step-by-step explanation: