x+11=4x-6

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Solution for x+11=4x-6 equation:


Simplifying
x + 11 = 4x + -6

Reorder the terms:
11 + x = 4x + -6

Reorder the terms:
11 + x = -6 + 4x

Solving
11 + x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + x + -4x = -6 + 4x + -4x

Combine like terms: x + -4x = -3x
11 + -3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -3x = -6 + 0
11 + -3x = -6

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

Combine like terms: 11 + -11 = 0
0 + -3x = -6 + -11
-3x = -6 + -11

Combine like terms: -6 + -11 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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