5x+11=3x-16

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


Simplifying
5x + 11 = 3x + -16

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

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

Solving
11 + 5x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 5x + -3x = -16 + 3x + -3x

Combine like terms: 5x + -3x = 2x
11 + 2x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 2x = -16 + 0
11 + 2x = -16

Add '-11' to each side of the equation.
11 + -11 + 2x = -16 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -16 + -11
2x = -16 + -11

Combine like terms: -16 + -11 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5

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