2x+5=11x-47

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Solution for 2x+5=11x-47 equation:


Simplifying
2x + 5 = 11x + -47

Reorder the terms:
5 + 2x = 11x + -47

Reorder the terms:
5 + 2x = -47 + 11x

Solving
5 + 2x = -47 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
5 + 2x + -11x = -47 + 11x + -11x

Combine like terms: 2x + -11x = -9x
5 + -9x = -47 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -9x = -47 + 0
5 + -9x = -47

Add '-5' to each side of the equation.
5 + -5 + -9x = -47 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -47 + -5
-9x = -47 + -5

Combine like terms: -47 + -5 = -52
-9x = -52

Divide each side by '-9'.
x = 5.777777778

Simplifying
x = 5.777777778

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