x+19=5x-1

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Solution for x+19=5x-1 equation:


Simplifying
x + 19 = 5x + -1

Reorder the terms:
19 + x = 5x + -1

Reorder the terms:
19 + x = -1 + 5x

Solving
19 + x = -1 + 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 = -1 + 5x + -5x

Combine like terms: x + -5x = -4x
19 + -4x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -4x = -1 + 0
19 + -4x = -1

Add '-19' to each side of the equation.
19 + -19 + -4x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = -1 + -19
-4x = -1 + -19

Combine like terms: -1 + -19 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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