3x+27=13x-63

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Solution for 3x+27=13x-63 equation:


Simplifying
3x + 27 = 13x + -63

Reorder the terms:
27 + 3x = 13x + -63

Reorder the terms:
27 + 3x = -63 + 13x

Solving
27 + 3x = -63 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
27 + 3x + -13x = -63 + 13x + -13x

Combine like terms: 3x + -13x = -10x
27 + -10x = -63 + 13x + -13x

Combine like terms: 13x + -13x = 0
27 + -10x = -63 + 0
27 + -10x = -63

Add '-27' to each side of the equation.
27 + -27 + -10x = -63 + -27

Combine like terms: 27 + -27 = 0
0 + -10x = -63 + -27
-10x = -63 + -27

Combine like terms: -63 + -27 = -90
-10x = -90

Divide each side by '-10'.
x = 9

Simplifying
x = 9

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