4x+27=11x-41

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Solution for 4x+27=11x-41 equation:


Simplifying
4x + 27 = 11x + -41

Reorder the terms:
27 + 4x = 11x + -41

Reorder the terms:
27 + 4x = -41 + 11x

Solving
27 + 4x = -41 + 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.
27 + 4x + -11x = -41 + 11x + -11x

Combine like terms: 4x + -11x = -7x
27 + -7x = -41 + 11x + -11x

Combine like terms: 11x + -11x = 0
27 + -7x = -41 + 0
27 + -7x = -41

Add '-27' to each side of the equation.
27 + -27 + -7x = -41 + -27

Combine like terms: 27 + -27 = 0
0 + -7x = -41 + -27
-7x = -41 + -27

Combine like terms: -41 + -27 = -68
-7x = -68

Divide each side by '-7'.
x = 9.714285714

Simplifying
x = 9.714285714

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