4x-6=11x+16

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Solution for 4x-6=11x+16 equation:


Simplifying
4x + -6 = 11x + 16

Reorder the terms:
-6 + 4x = 11x + 16

Reorder the terms:
-6 + 4x = 16 + 11x

Solving
-6 + 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.
-6 + 4x + -11x = 16 + 11x + -11x

Combine like terms: 4x + -11x = -7x
-6 + -7x = 16 + 11x + -11x

Combine like terms: 11x + -11x = 0
-6 + -7x = 16 + 0
-6 + -7x = 16

Add '6' to each side of the equation.
-6 + 6 + -7x = 16 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 16 + 6
-7x = 16 + 6

Combine like terms: 16 + 6 = 22
-7x = 22

Divide each side by '-7'.
x = -3.142857143

Simplifying
x = -3.142857143

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