9(x+6)+4=-11(x-4)-2

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Solution for 9(x+6)+4=-11(x-4)-2 equation:


Simplifying
9(x + 6) + 4 = -11(x + -4) + -2

Reorder the terms:
9(6 + x) + 4 = -11(x + -4) + -2
(6 * 9 + x * 9) + 4 = -11(x + -4) + -2
(54 + 9x) + 4 = -11(x + -4) + -2

Reorder the terms:
54 + 4 + 9x = -11(x + -4) + -2

Combine like terms: 54 + 4 = 58
58 + 9x = -11(x + -4) + -2

Reorder the terms:
58 + 9x = -11(-4 + x) + -2
58 + 9x = (-4 * -11 + x * -11) + -2
58 + 9x = (44 + -11x) + -2

Reorder the terms:
58 + 9x = 44 + -2 + -11x

Combine like terms: 44 + -2 = 42
58 + 9x = 42 + -11x

Solving
58 + 9x = 42 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
58 + 9x + 11x = 42 + -11x + 11x

Combine like terms: 9x + 11x = 20x
58 + 20x = 42 + -11x + 11x

Combine like terms: -11x + 11x = 0
58 + 20x = 42 + 0
58 + 20x = 42

Add '-58' to each side of the equation.
58 + -58 + 20x = 42 + -58

Combine like terms: 58 + -58 = 0
0 + 20x = 42 + -58
20x = 42 + -58

Combine like terms: 42 + -58 = -16
20x = -16

Divide each side by '20'.
x = -0.8

Simplifying
x = -0.8

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