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Mayra Cobb
Mathematics
23 May, 08:10
5x - (x+4) = 10-2 (x-8)
solve for x
+1
Answers (
1
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Quinton Garrison
23 May, 08:28
0
x=5
Step-by-step explanation:
Simplifying
5x + - 1 (x + 4) = 10 + - 2 (x + - 8)
Reorder the terms:
5x + - 1 (4 + x) = 10 + - 2 (x + - 8)
5x + (4 * - 1 + x * - 1) = 10 + - 2 (x + - 8)
5x + (-4 + - 1x) = 10 + - 2 (x + - 8)
Reorder the terms:
-4 + 5x + - 1x = 10 + - 2 (x + - 8)
Combine like terms: 5x + - 1x = 4x
-4 + 4x = 10 + - 2 (x + - 8)
Reorder the terms:
-4 + 4x = 10 + - 2 (-8 + x)
-4 + 4x = 10 + (-8 * - 2 + x * - 2)
-4 + 4x = 10 + (16 + - 2x)
Combine like terms: 10 + 16 = 26
-4 + 4x = 26 + - 2x
Solving
-4 + 4x = 26 + - 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-4 + 4x + 2x = 26 + - 2x + 2x
Combine like terms: 4x + 2x = 6x
-4 + 6x = 26 + - 2x + 2x
Combine like terms: - 2x + 2x = 0
-4 + 6x = 26 + 0
-4 + 6x = 26
Add '4' to each side of the equation.
-4 + 4 + 6x = 26 + 4
Combine like terms: - 4 + 4 = 0
0 + 6x = 26 + 4
6x = 26 + 4
Combine like terms: 26 + 4 = 30
6x = 30
Divide each side by '6'.
x = 5
Simplifying
x = 5
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