(2x-11)2=20(5-2x)+4(5-x)+9

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Solution for (2x-11)2=20(5-2x)+4(5-x)+9 equation:


Simplifying
(2x + -11) * 2 = 20(5 + -2x) + 4(5 + -1x) + 9

Reorder the terms:
(-11 + 2x) * 2 = 20(5 + -2x) + 4(5 + -1x) + 9

Reorder the terms for easier multiplication:
2(-11 + 2x) = 20(5 + -2x) + 4(5 + -1x) + 9
(-11 * 2 + 2x * 2) = 20(5 + -2x) + 4(5 + -1x) + 9
(-22 + 4x) = 20(5 + -2x) + 4(5 + -1x) + 9
-22 + 4x = (5 * 20 + -2x * 20) + 4(5 + -1x) + 9
-22 + 4x = (100 + -40x) + 4(5 + -1x) + 9
-22 + 4x = 100 + -40x + (5 * 4 + -1x * 4) + 9
-22 + 4x = 100 + -40x + (20 + -4x) + 9

Reorder the terms:
-22 + 4x = 100 + 20 + 9 + -40x + -4x

Combine like terms: 100 + 20 = 120
-22 + 4x = 120 + 9 + -40x + -4x

Combine like terms: 120 + 9 = 129
-22 + 4x = 129 + -40x + -4x

Combine like terms: -40x + -4x = -44x
-22 + 4x = 129 + -44x

Solving
-22 + 4x = 129 + -44x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '44x' to each side of the equation.
-22 + 4x + 44x = 129 + -44x + 44x

Combine like terms: 4x + 44x = 48x
-22 + 48x = 129 + -44x + 44x

Combine like terms: -44x + 44x = 0
-22 + 48x = 129 + 0
-22 + 48x = 129

Add '22' to each side of the equation.
-22 + 22 + 48x = 129 + 22

Combine like terms: -22 + 22 = 0
0 + 48x = 129 + 22
48x = 129 + 22

Combine like terms: 129 + 22 = 151
48x = 151

Divide each side by '48'.
x = 3.145833333

Simplifying
x = 3.145833333

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