To solve the equation 2/5(2x - 12) = -28, we need to isolate the variable x.
First, distribute the 2/5 to (2x - 12):
(2/5)(2x - 12) = -28
Now simplify the expression:
(4x/5) - (24/5) = -28
Multiply both sides of the equation by 5 to eliminate the fraction:
5((4x/5) - (24/5)) = -28 * 5
4x - 24 = -140
Next, add 24 to both sides:
4x - 24 + 24 = -140 + 24
4x = -116
Finally, divide both sides by 4 to solve for x:
4x/4 = -116/4
x = -29
Therefore, x = -29 is the solution to the equation.
2/5 (2x − 12) = −28
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