2x+8=9x-27

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Solution for 2x+8=9x-27 equation:


Simplifying
2x + 8 = 9x + -27

Reorder the terms:
8 + 2x = 9x + -27

Reorder the terms:
8 + 2x = -27 + 9x

Solving
8 + 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.
8 + 2x + -9x = -27 + 9x + -9x

Combine like terms: 2x + -9x = -7x
8 + -7x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -7x = -27 + 0
8 + -7x = -27

Add '-8' to each side of the equation.
8 + -8 + -7x = -27 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -27 + -8
-7x = -27 + -8

Combine like terms: -27 + -8 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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