Answer: HENCE, ((A)): x = 2, ((B)): x = 10
((A)): -5(4x - 2 ) = -2(3 + 6x): X = 2
((B)): 5(2x + 6) = -4( -5 - 2x) + 3x: X = 10
Explanation:
SOLVE EACH EQUATION:
-5(4x - 2 ) = -2(3 + 6x)
- APPLY THE DISTRIBUTIVE PROPERTY:
-20x + 10 = -6 - 12x
- REARRANGE VARIABLES TO THE LEFT SIDE OF THE EQUATION:
-20x + 12x = -6 - 10
-8x = -6 - 10
- CALCULATE THE SUM OR DIFFERENCE:
-8x = -16
x = -16 / -8
- DETERMINE THE SIGN FOR MULTIPLICATION OR DIVISION:
x = 16 / 8
- CROSS OUT COMMON FACTORS:
x = 2
5(2x + 6) = -4( -5 - 2x) + 3x
10x + 30 = -4( -5 - 2x) + 3x
- APPLY THE DISTRIBUTIVE PROPERTY:
10x + 30 = 20 + 8x + 3x
10x + 30 = 20 + 11x
10x - 11x = 20 - 30
-x = 20 - 30
-x = -10
- DIVIDE BOTH SIDES OF THE EQUATION:
x = 10
HENCE,
((A)): -5(4x - 2 ) = -2(3 + 6x): X = 2
((B)): 5(2x + 6) = -4( -5 - 2x) + 3x: X = 10
I hope this helps you!