2x+11=9x-13

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Solution for 2x+11=9x-13 equation:


Simplifying
2x + 11 = 9x + -13

Reorder the terms:
11 + 2x = 9x + -13

Reorder the terms:
11 + 2x = -13 + 9x

Solving
11 + 2x = -13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
11 + 2x + -9x = -13 + 9x + -9x

Combine like terms: 2x + -9x = -7x
11 + -7x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -7x = -13 + 0
11 + -7x = -13

Add '-11' to each side of the equation.
11 + -11 + -7x = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -13 + -11
-7x = -13 + -11

Combine like terms: -13 + -11 = -24
-7x = -24

Divide each side by '-7'.
x = 3.428571429

Simplifying
x = 3.428571429

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