11-3x+16=x-5

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Solution for 11-3x+16=x-5 equation:


Simplifying
11 + -3x + 16 = x + -5

Reorder the terms:
11 + 16 + -3x = x + -5

Combine like terms: 11 + 16 = 27
27 + -3x = x + -5

Reorder the terms:
27 + -3x = -5 + x

Solving
27 + -3x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
27 + -3x + -1x = -5 + x + -1x

Combine like terms: -3x + -1x = -4x
27 + -4x = -5 + x + -1x

Combine like terms: x + -1x = 0
27 + -4x = -5 + 0
27 + -4x = -5

Add '-27' to each side of the equation.
27 + -27 + -4x = -5 + -27

Combine like terms: 27 + -27 = 0
0 + -4x = -5 + -27
-4x = -5 + -27

Combine like terms: -5 + -27 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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