4x+5=11x-9

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Solution for 4x+5=11x-9 equation:


Simplifying
4x + 5 = 11x + -9

Reorder the terms:
5 + 4x = 11x + -9

Reorder the terms:
5 + 4x = -9 + 11x

Solving
5 + 4x = -9 + 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 + 4x + -11x = -9 + 11x + -11x

Combine like terms: 4x + -11x = -7x
5 + -7x = -9 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -7x = -9 + 0
5 + -7x = -9

Add '-5' to each side of the equation.
5 + -5 + -7x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -9 + -5
-7x = -9 + -5

Combine like terms: -9 + -5 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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