SOLUTION: Can you please explain the following steps for solving the equation. I understand how to write it but need the steps for solving it. One half of a number is 14 more than 2 times t

Question 999565: Can you please explain the following steps for solving the equation. I understand how to write it but need the steps for solving it.
One half of a number is 14 more than 2 times the number. Thank you
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
One half of a number is 14 more than 2 times the number.

let x = the number.

1/2 * x = 2*x + 14

subtract 2 * x from both sides of this eqaution to get:

1/2 * x - 2 * x = 14

2 * x is the same as 4/2 * x.

your equation can be written as 1/2 * x - 4/2 * x = 14

since 1/2 * x - 4/2 * x is equal to -3/2 * x, your equation becomes -3/2 * x = 14.

multiply both sides of this equation by -2/3 to get:

-2/3 * -3/2 * x = -2/3 * 14

since -2/3 * -3/2 = 1, your equation becomes:

x = -2/3 * 14

since -2/3 * 14 = -28/3, your equation becomes x = -28/3

that's your solution.

when x = -28/3, one half of a number is 14 more than 2 times the number becomes:

1/2 * (-28/3) = 2 * (-28/3) + 14

since 14 is the same as 42/3, this equation can be written as:

1/2 * (-28/3) = 2 * (-28/3) + (42/3)

this results in -14/3 = -56/3 + 42/3, which results in -14/3 = -14/3.

you get -14/3 = -14/3.

this confirms the solution is correct.

the solution is that x = -28/3.

RELATED QUESTIONS
Hello. Can you please help me? I need to solve this equation.. x^6-9x^4-x^2+9=0... (answered by nerdybill,rapaljer)

Find the slope and y-intercept and graph the following linear equation. y=-4x+1... (answered by Mathtut)

I am trying to help my son with the following problem regarding solving compound... (answered by stanbon,nerdybill)

can you show me the steps of solving the quadratic equation but in the other form that's... (answered by Alan3354,josmiceli)

Explian the four steps for solving quadratic equations? Can any of these steps be... (answered by richard1234)

Can you explain how to solve this equation and show me the steps to solving it?... (answered by solver91311)

PLEASE CAN YOU EXPLAIN THE STEPS WRITE AN EQUATION FOR THE VERTICAL LINE THROUGH THE... (answered by Fombitz)

If g(x) = √( x - 1), find all values of x for which g(x) = 6 I need help with... (answered by richwmiller)

I need to know how to sove these problems. I sort of understand how to rewrite the... (answered by stanbon)