3x+11=5x-6

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Solution for 3x+11=5x-6 equation:


Simplifying
3x + 11 = 5x + -6

Reorder the terms:
11 + 3x = 5x + -6

Reorder the terms:
11 + 3x = -6 + 5x

Solving
11 + 3x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 3x + -5x = -6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
11 + -2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -2x = -6 + 0
11 + -2x = -6

Add '-11' to each side of the equation.
11 + -11 + -2x = -6 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -6 + -11
-2x = -6 + -11

Combine like terms: -6 + -11 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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