4x-5=11x+16

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Solution for 4x-5=11x+16 equation:

Simplifying
4x + -5 = 11x + 16

Reorder the terms:
-5 + 4x = 11x + 16

Reorder the terms:
-5 + 4x = 16 + 11x

Solving
-5 + 4x = 16 + 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 = 16 + 11x + -11x

Combine like terms: 4x + -11x = -7x
-5 + -7x = 16 + 11x + -11x

Combine like terms: 11x + -11x = 0
-5 + -7x = 16 + 0
-5 + -7x = 16

Add '5' to each side of the equation.
-5 + 5 + -7x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 16 + 5
-7x = 16 + 5

Combine like terms: 16 + 5 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3`