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Alanna Cook
8 April, 07:01
5x-3x (26x-7x-28x) systems of equation
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Fatima Gardner
8 April, 07:28
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Simplifying
5x + 2 (8x + - 9) = 3 (x + 4) + - 5 (2x + 7)
Reorder the terms:
5x + 2 (-9 + 8x) = 3 (x + 4) + - 5 (2x + 7)
5x + (-9 * 2 + 8x * 2) = 3 (x + 4) + - 5 (2x + 7)
5x + (-18 + 16x) = 3 (x + 4) + - 5 (2x + 7)
Reorder the terms:
-18 + 5x + 16x = 3 (x + 4) + - 5 (2x + 7)
Combine like terms: 5x + 16x = 21x
-18 + 21x = 3 (x + 4) + - 5 (2x + 7)
Reorder the terms:
-18 + 21x = 3 (4 + x) + - 5 (2x + 7)
-18 + 21x = (4 * 3 + x * 3) + - 5 (2x + 7)
-18 + 21x = (12 + 3x) + - 5 (2x + 7)
Reorder the terms:
-18 + 21x = 12 + 3x + - 5 (7 + 2x)
-18 + 21x = 12 + 3x + (7 * - 5 + 2x * - 5)
-18 + 21x = 12 + 3x + (-35 + - 10x)
Reorder the terms:
-18 + 21x = 12 + - 35 + 3x + - 10x
Combine like terms: 12 + - 35 = - 23
-18 + 21x = - 23 + 3x + - 10x
Combine like terms: 3x + - 10x = - 7x
-18 + 21x = - 23 + - 7x
Solving
-18 + 21x = - 23 + - 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7x' to each side of the equation.
-18 + 21x + 7x = - 23 + - 7x + 7x
Combine like terms: 21x + 7x = 28x
-18 + 28x = - 23 + - 7x + 7x
Combine like terms: - 7x + 7x = 0
-18 + 28x = - 23 + 0
-18 + 28x = - 23
Add '18' to each side of the equation.
-18 + 18 + 28x = - 23 + 18
Combine like terms: - 18 + 18 = 0
0 + 28x = - 23 + 18
28x = - 23 + 18
Combine like terms: - 23 + 18 = - 5
28x = - 5
Divide each side by '28'.
x = - 0.1785714286
Simplifying
x = - 0.1785714286
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