The equivalent equation after applying distributive property will be:
(2*x) - (2*5) = 56 + (6*x) - (6*5)
Further explanation:
Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.
a(b+c) = a*b + a*c
So the given equation is:
2(x - 5) = 56 + 6(x - 5)
2 will be distributed to x-5 and 6 will be distributed to x-5
The equivalent equation will be:
![(2*x) - (2*5) = 56 + (6*x) - (6*5)\\Simplifying\\2x-10 = 56+6x-30\\2x-6x = 56-30+10\\-4x = 36\\x=-9](https://tex.z-dn.net/?f=%282%2Ax%29%20-%20%282%2A5%29%20%3D%2056%20%2B%20%286%2Ax%29%20-%20%286%2A5%29%5C%5CSimplifying%5C%5C2x-10%20%3D%2056%2B6x-30%5C%5C2x-6x%20%3D%2056-30%2B10%5C%5C-4x%20%3D%2036%5C%5Cx%3D-9)
Keywords: Equations, Distributive property
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The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:
f(-1) = -(-1) + 1
f(-1) = 2 ✓
Answer:
x=10
Step-by-step explanation:
first substitute y with the value (-5)
2x+5(-5)=-5 which is simplified to 2x+-25=-5
add 25 to -5 which gives you 2x=20
then divide 20 by 2 which makes x=10