Solve for x: − ( 1 2 x − 5 ) = 2 x − 10 -\left(\frac{1}{2} x-5\right) =2 x-10 − ( 2 1 x − 5 ) = 2 x − 10 A) 6B) -6C) -10D) 3 1 3 3 \frac{1}{3} 3 3 1 E) 10

Question

Solve for x: − ( 1 2 x − 5 )  = 2 x − 10 -\left(\frac{1}{2} x-5\right) =2 x-10 − ( 2 1 ​ x − 5 )  = 2 x − 10 A)  6B)  -6C)  -10D)    3 1 3 3 \frac{1}{3} 3 3 1 ​ E)  10

Nathan Oxley · Accepted Answer

Final Answer : A, Explanation :   First, distribute the negative sign on the left side of the equation:   1 2 x − 5 = − ( 2 x − 10 ) \frac{1}{2}x - 5 = -(2x - 10) 2 1 ​ x − 5 = − ( 2 x − 10 )   becomes   1 2 x − 5 = − 2 x + 10 \frac{1}{2}x - 5 = -2x + 10 2 1 ​ x − 5 = − 2 x + 10  . Then, add   2 x 2x 2 x   to both sides and add   5 5 5   to both sides to get   5 2 x = 15 \frac{5}{2}x = 15 2 5 ​ x = 15  . Finally, divide both sides by   5 2 \frac{5}{2} 2 5 ​   to solve for   x x x  , which gives   x = 6 x = 6 x = 6  .

Solve for x:
$=2x−10-\left(\frac{1}{2} x-5\right) =2 x-10$

A) 6
B) -6
C) -10
D) $\frac{1}{3}$
E) 10

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Learning Objectives

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Solve for x: −(12x−5) =2x−10-\left(\frac{1}{2} x-5\right) =2 x-10−(21​x−5) =2x−10 A) 6B) -6C) -10D) 3133 \frac{1}{3}331​ E) 10

Definitions

Learning Objectives

Learning Objectives

Related questions

Solve for x:
$=2x−10-\left(\frac{1}{2} x-5\right) =2 x-10$

A) 6
B) -6
C) -10
D) $\frac{1}{3}$
E) 10