11(x-5)=2(x+6)-16

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Solution for 11(x-5)=2(x+6)-16 equation:


Simplifying
11(x + -5) = 2(x + 6) + -16

Reorder the terms:
11(-5 + x) = 2(x + 6) + -16
(-5 * 11 + x * 11) = 2(x + 6) + -16
(-55 + 11x) = 2(x + 6) + -16

Reorder the terms:
-55 + 11x = 2(6 + x) + -16
-55 + 11x = (6 * 2 + x * 2) + -16
-55 + 11x = (12 + 2x) + -16

Reorder the terms:
-55 + 11x = 12 + -16 + 2x

Combine like terms: 12 + -16 = -4
-55 + 11x = -4 + 2x

Solving
-55 + 11x = -4 + 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.
-55 + 11x + -2x = -4 + 2x + -2x

Combine like terms: 11x + -2x = 9x
-55 + 9x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-55 + 9x = -4 + 0
-55 + 9x = -4

Add '55' to each side of the equation.
-55 + 55 + 9x = -4 + 55

Combine like terms: -55 + 55 = 0
0 + 9x = -4 + 55
9x = -4 + 55

Combine like terms: -4 + 55 = 51
9x = 51

Divide each side by '9'.
x = 5.666666667

Simplifying
x = 5.666666667

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