2x+20=9x-27

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Solution for 2x+20=9x-27 equation:


Simplifying
2x + 20 = 9x + -27

Reorder the terms:
20 + 2x = 9x + -27

Reorder the terms:
20 + 2x = -27 + 9x

Solving
20 + 2x = -27 + 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.
20 + 2x + -9x = -27 + 9x + -9x

Combine like terms: 2x + -9x = -7x
20 + -7x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -7x = -27 + 0
20 + -7x = -27

Add '-20' to each side of the equation.
20 + -20 + -7x = -27 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -27 + -20
-7x = -27 + -20

Combine like terms: -27 + -20 = -47
-7x = -47

Divide each side by '-7'.
x = 6.714285714

Simplifying
x = 6.714285714

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