Answer:
x = (-16)/43
Step-by-step explanation:
Solve for x:
(-5 x)/4 - 2 = -2 (6 x + 3)
Put each term in (-5 x)/4 - 2 over the common denominator 4: (-5 x)/4 - 2 = (-5 x)/4 - 8/4:
(-5 x)/4 - 8/4 = -2 (6 x + 3)
(-5 x)/4 - 8/4 = (-5 x - 8)/4:
(-5 x - 8)/4 = -2 (6 x + 3)
Multiply both sides by 4:
(4 (-5 x - 8))/4 = -2×4 (6 x + 3)
(4 (-5 x - 8))/4 = 4/4×(-5 x - 8) = -5 x - 8:
-5 x - 8 = -2×4 (6 x + 3)
4 (-2) = -8:
-5 x - 8 = -8 (6 x + 3)
Expand out terms of the right hand side:
-5 x - 8 = -48 x - 24
Add 48 x to both sides:
48 x - 5 x - 8 = (48 x - 48 x) - 24
48 x - 48 x = 0:
48 x - 5 x - 8 = -24
48 x - 5 x = 43 x:
43 x - 8 = -24
Add 8 to both sides:
43 x + (8 - 8) = 8 - 24
8 - 8 = 0:
43 x = 8 - 24
8 - 24 = -16:
43 x = -16
Divide both sides of 43 x = -16 by 43:
(43 x)/43 = (-16)/43
43/43 = 1:
Answer: x = (-16)/43
