2x+27=9x-43

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Solution for 2x+27=9x-43 equation:


Simplifying
2x + 27 = 9x + -43

Reorder the terms:
27 + 2x = 9x + -43

Reorder the terms:
27 + 2x = -43 + 9x

Solving
27 + 2x = -43 + 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.
27 + 2x + -9x = -43 + 9x + -9x

Combine like terms: 2x + -9x = -7x
27 + -7x = -43 + 9x + -9x

Combine like terms: 9x + -9x = 0
27 + -7x = -43 + 0
27 + -7x = -43

Add '-27' to each side of the equation.
27 + -27 + -7x = -43 + -27

Combine like terms: 27 + -27 = 0
0 + -7x = -43 + -27
-7x = -43 + -27

Combine like terms: -43 + -27 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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