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Mathematics
Elijah
11 June, 03:42
How do you check 2x+5-3 (2x-7) = 2 (3x-5) - 4
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Holden Burnett
11 June, 05:39
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Mplifying
2x + 5 + - 3 (2x + - 7) = 2 (3x + - 5) + - 4
Reorder the terms:
2x + 5 + - 3 (-7 + 2x) = 2 (3x + - 5) + - 4
2x + 5 + (-7 * - 3 + 2x * - 3) = 2 (3x + - 5) + - 4
2x + 5 + (21 + - 6x) = 2 (3x + - 5) + - 4
Reorder the terms:
5 + 21 + 2x + - 6x = 2 (3x + - 5) + - 4
Combine like terms: 5 + 21 = 26
26 + 2x + - 6x = 2 (3x + - 5) + - 4
Combine like terms: 2x + - 6x = - 4x
26 + - 4x = 2 (3x + - 5) + - 4
Reorder the terms:
26 + - 4x = 2 (-5 + 3x) + - 4
26 + - 4x = (-5 * 2 + 3x * 2) + - 4
26 + - 4x = (-10 + 6x) + - 4
Reorder the terms:
26 + - 4x = - 10 + - 4 + 6x
Combine like terms: - 10 + - 4 = - 14
26 + - 4x = - 14 + 6x
Solving
26 + - 4x = - 14 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
26 + - 4x + - 6x = - 14 + 6x + - 6x
Combine like terms: - 4x + - 6x = - 10x
26 + - 10x = - 14 + 6x + - 6x
Combine like terms: 6x + - 6x = 0
26 + - 10x = - 14 + 0
26 + - 10x = - 14
Add '-26' to each side of the equation.
26 + - 26 + - 10x = - 14 + - 26
Combine like terms: 26 + - 26 = 0
0 + - 10x = - 14 + - 26
-10x = - 14 + - 26
Combine like terms: - 14 + - 26 = - 40
-10x = - 40
Divide each side by '-10'.
x = 4
Simplifying
x = 4
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