Answer:
x = -4
Step-by-step explanation:
Simplifying
2[x + 4] = 2[-8 + -1x] + -2x
Reorder the terms:
2[4 + x] = 2[-8 + -1x] + -2x
[4 * 2 + x * 2] = 2[-8 + -1x] + -2x
[8 + 2x] = 2[-8 + -1x] + -2x
8 + 2x = [-8 * 2 + -1x * 2] + -2x
8 + 2x = [-16 + -2x] + -2x
Combine like terms: -2x + -2x = -4x
8 + 2x = -16 + -4x
Solving
8 + 2x = -16 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
8 + 2x + 4x = -16 + -4x + 4x
Combine like terms: 2x + 4x = 6x
8 + 6x = -16 + -4x + 4x
Combine like terms: -4x + 4x = 0
8 + 6x = -16 + 0
8 + 6x = -16
Add '-8' to each side of the equation.
8 + -8 + 6x = -16 + -8
Combine like terms: 8 + -8 = 0
0 + 6x = -16 + -8
6x = -16 + -8
Combine like terms: -16 + -8 = -24
6x = -24
Divide each side by '6'.
x = -4
Simplifying
x = -4
Answer:
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Step-by-step explanation:
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Answer:
B produced 20000 panels
Step-by-step explanation:
Plant A produced 5000 fewer panels than Plant B did
A = B - 5000 eq1
Two percent of the panels from Plant A and 4% of the panels from Plant B were defective:
0.02A + 0.04B = 1100 eq2
Solving the two equations:
Put value of A from 1 in 2
0.02 (B - 5000) + 0.04B = 1100
0.06B - 100=1100
0.06B = 1200
B = 20000
7 * 0.5 + 3 * 0.8 = 3.5 + 2.4 = 5.9
<span>5.9/10 X 100 = 59%
</span><span>59% concentration of new mixture</span>
