3x+27=7x-9

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Solution for 3x+27=7x-9 equation:


Simplifying
3x + 27 = 7x + -9

Reorder the terms:
27 + 3x = 7x + -9

Reorder the terms:
27 + 3x = -9 + 7x

Solving
27 + 3x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
27 + 3x + -7x = -9 + 7x + -7x

Combine like terms: 3x + -7x = -4x
27 + -4x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -4x = -9 + 0
27 + -4x = -9

Add '-27' to each side of the equation.
27 + -27 + -4x = -9 + -27

Combine like terms: 27 + -27 = 0
0 + -4x = -9 + -27
-4x = -9 + -27

Combine like terms: -9 + -27 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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