Solve the equation.
-2(x - 3)= 4(x - 14)
A)50
B)31
C)25
D)62

Question

Quizplus · Accepted Answer

2(x - 3) = 4(x - 14)
2x - 6 = 4x - 56
2x - 4x = -56 + 6
-2x = -50
x = 25

Therefore, the correct choice is C, as x = 25. Firstly, distribute the coefficients on both sides to simplify the equation:
2x - 6 = 4x - 56

Next, isolate the variable term by bringing all x terms to one side of the equation and all constant terms to the other side:
2x - 4x = -56 + 6
-2x = -50

Solve for x by dividing both sides by -2:
x = 25

Therefore, the solution is x = 25, which corresponds to choice C.

Solve the Equation. -2(x - 3)= 4(x - 14)