3x+27=5x-x-15

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Solution for 3x+27=5x-x-15 equation:


Simplifying
3x + 27 = 5x + -1x + -15

Reorder the terms:
27 + 3x = 5x + -1x + -15

Reorder the terms:
27 + 3x = -15 + 5x + -1x

Combine like terms: 5x + -1x = 4x
27 + 3x = -15 + 4x

Solving
27 + 3x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
27 + 3x + -4x = -15 + 4x + -4x

Combine like terms: 3x + -4x = -1x
27 + -1x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
27 + -1x = -15 + 0
27 + -1x = -15

Add '-27' to each side of the equation.
27 + -27 + -1x = -15 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = -15 + -27
-1x = -15 + -27

Combine like terms: -15 + -27 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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