2x+9=4x-13

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Solution for 2x+9=4x-13 equation: 


Simplifying
2x + 9 = 4x + -13

Reorder the terms:
9 + 2x = 4x + -13

Reorder the terms:
9 + 2x = -13 + 4x

Solving
9 + 2x = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 2x + -4x = -13 + 4x + -4x

Combine like terms: 2x + -4x = -2x
9 + -2x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -2x = -13 + 0
9 + -2x = -13

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

Combine like terms: 9 + -9 = 0
0 + -2x = -13 + -9
-2x = -13 + -9

Combine like terms: -13 + -9 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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