11(8-x)+4=-4(x-4)-9

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Solution for 11(8-x)+4=-4(x-4)-9 equation:


Simplifying
11(8 + -1x) + 4 = -4(x + -4) + -9
(8 * 11 + -1x * 11) + 4 = -4(x + -4) + -9
(88 + -11x) + 4 = -4(x + -4) + -9

Reorder the terms:
88 + 4 + -11x = -4(x + -4) + -9

Combine like terms: 88 + 4 = 92
92 + -11x = -4(x + -4) + -9

Reorder the terms:
92 + -11x = -4(-4 + x) + -9
92 + -11x = (-4 * -4 + x * -4) + -9
92 + -11x = (16 + -4x) + -9

Reorder the terms:
92 + -11x = 16 + -9 + -4x

Combine like terms: 16 + -9 = 7
92 + -11x = 7 + -4x

Solving
92 + -11x = 7 + -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.
92 + -11x + 4x = 7 + -4x + 4x

Combine like terms: -11x + 4x = -7x
92 + -7x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
92 + -7x = 7 + 0
92 + -7x = 7

Add '-92' to each side of the equation.
92 + -92 + -7x = 7 + -92

Combine like terms: 92 + -92 = 0
0 + -7x = 7 + -92
-7x = 7 + -92

Combine like terms: 7 + -92 = -85
-7x = -85

Divide each side by '-7'.
x = 12.14285714

Simplifying
x = 12.14285714

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