4x+11=13x-16

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Solution for 4x+11=13x-16 equation:


Simplifying
4x + 11 = 13x + -16

Reorder the terms:
11 + 4x = 13x + -16

Reorder the terms:
11 + 4x = -16 + 13x

Solving
11 + 4x = -16 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
11 + 4x + -13x = -16 + 13x + -13x

Combine like terms: 4x + -13x = -9x
11 + -9x = -16 + 13x + -13x

Combine like terms: 13x + -13x = 0
11 + -9x = -16 + 0
11 + -9x = -16

Add '-11' to each side of the equation.
11 + -11 + -9x = -16 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = -16 + -11
-9x = -16 + -11

Combine like terms: -16 + -11 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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