Hey there!
Solve for x :
x = 2 ✅
Distributive property: A(B + C) = AB + AC
-5(4x - 2) = -2(3 + 6x)
>> Distribute the -5 to the 4x and to the -2 :
-5(4x) + (-5)(-2) = -2(3 + 6x)
-20x + 10 = -2(3 + 6x)
>> Distribute the -2 to the 3 and to the 6x :
-20x + 10 = -2(3) + (-2)(6x)
-20x + 10 = -6 - 12x
>> Substract 10 from both sides :
-20x + 10 - 10 = -6 - 12x - 10
-20x = -12x - 16
>> Add 12x to each side :
-20x + 12x = -12x - 16 + 12x
-8x = -16
>> Divide both sides by -8 :
-8x / -8 = -16 / -8
x = 2
▪️Let's verify :
-5(4(2) - 2) ⇔ -5(8 - 2) ⇔ -5(6) ⇔ -30
-2(3 + 6(2)) ⇔ -2(3 + 12) ⇔ -2(15) ⇔ -30
Therefore, your answer is x = 2
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