Solve the equation for x.
2/5(2x − 12) = −28
Responses
A −18−18
B −29−29
C −32−32
D −9
To solve the equation, we can start by distributing the 2/5 to the terms inside the parentheses:
(2/5)(2x - 12) = -28
(4x/5) - (24/5) = -28
Next, we can isolate the term with x by adding (24/5) to both sides of the equation:
(4x/5) = -28 + (24/5)
(4x/5) = (-140/5) + (24/5)
(4x/5) = -116/5
To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 4/5, which is 5/4:
(5/4)(4x/5) = (5/4)(-116/5)
x = -116/4
x = -29
Therefore, the solution to the equation is x = -29. So, the answer is B.