5x+1=9x-27

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Solution for 5x+1=9x-27 equation:


Simplifying
5x + 1 = 9x + -27

Reorder the terms:
1 + 5x = 9x + -27

Reorder the terms:
1 + 5x = -27 + 9x

Solving
1 + 5x = -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.
1 + 5x + -9x = -27 + 9x + -9x

Combine like terms: 5x + -9x = -4x
1 + -4x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
1 + -4x = -27 + 0
1 + -4x = -27

Add '-1' to each side of the equation.
1 + -1 + -4x = -27 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -27 + -1
-4x = -27 + -1

Combine like terms: -27 + -1 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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