what is the solution for (2x+5=14)??
plz give correct answer
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Answers
Answer:
2x+5=14
2x=14-5
2x=9
x=4.5
Answer:
Step-by-step explanation:
To solve the given linear equation, 2x + 5 = 14, begin by subtracting 5 from both sides of the equation in order to begin isolating the variable x on one side as follows:
2x + 5 = 14 (Given)
2x + 5 - 5 = 14 - 5
2x + 0 = 9
2x = 9
Now, to finally isolate x on one side of the equation and thus solve the given equation for the variable x, divide both sides of the equation by 2 as follows:
(2x)/2 = 9/2
(2/2)x = 9/2
(1)x = 9/2
x = 4½
CHECK (ALWAYS PERFORM THIS STEP BACK IN THE ORIGINAL, GIVEN EQUATION!):
2x + 5 = 14
2(4½) + 5 = 14
2(9/2) + 5 = 14
(2/2)(9) + 5 = 14
(1)(9) + 5 = 14
14 = 14
Therefore, x = 4½, pronounced "four and one-half," is indeed the solution to the given equation.
REMEMBER: For solving an equation, WHAT YOU DO TO ONE SIDE OF THE EQUATION, YOU MUST DO TO THE OTHER SIDE.