3x+1=5x-19

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Solution for 3x+1=5x-19 equation:


Simplifying
3x + 1 = 5x + -19

Reorder the terms:
1 + 3x = 5x + -19

Reorder the terms:
1 + 3x = -19 + 5x

Solving
1 + 3x = -19 + 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.
1 + 3x + -5x = -19 + 5x + -5x

Combine like terms: 3x + -5x = -2x
1 + -2x = -19 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -2x = -19 + 0
1 + -2x = -19

Add '-1' to each side of the equation.
1 + -1 + -2x = -19 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -19 + -1
-2x = -19 + -1

Combine like terms: -19 + -1 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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