-4x - 2(x-5) = 15
Following the PEMDAS order of operations, first distribute (multiply) the 2 across the terms within the parentheses:
-4x - 2*x + 2*5 = 15
-4x - 2x + 10 = 15
Combine like terms:
-6x + 10 = 15
Subtract 10 from both sides:
-6x = 5
Divide both sides by -6:
x = -5/6
Check your work:
-4x - 2(x-5) = 15
-4(-5/6) - 2(-5/6 - 5) = 15
20/6 + 10/6 + 10 = 15
30/6 + 10 = 15
5 + 10 = 15
15 = 15
Check!