x+19=5x-41

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Solution for x+19=5x-41 equation:


Simplifying
x + 19 = 5x + -41

Reorder the terms:
19 + x = 5x + -41

Reorder the terms:
19 + x = -41 + 5x

Solving
19 + x = -41 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
19 + x + -5x = -41 + 5x + -5x

Combine like terms: x + -5x = -4x
19 + -4x = -41 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -4x = -41 + 0
19 + -4x = -41

Add '-19' to each side of the equation.
19 + -19 + -4x = -41 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = -41 + -19
-4x = -41 + -19

Combine like terms: -41 + -19 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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