2x-9+3x-11=x+20

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Solution for 2x-9+3x-11=x+20 equation:


Simplifying
2x + -9 + 3x + -11 = x + 20

Reorder the terms:
-9 + -11 + 2x + 3x = x + 20

Combine like terms: -9 + -11 = -20
-20 + 2x + 3x = x + 20

Combine like terms: 2x + 3x = 5x
-20 + 5x = x + 20

Reorder the terms:
-20 + 5x = 20 + x

Solving
-20 + 5x = 20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-20 + 5x + -1x = 20 + x + -1x

Combine like terms: 5x + -1x = 4x
-20 + 4x = 20 + x + -1x

Combine like terms: x + -1x = 0
-20 + 4x = 20 + 0
-20 + 4x = 20

Add '20' to each side of the equation.
-20 + 20 + 4x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 20 + 20
4x = 20 + 20

Combine like terms: 20 + 20 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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