-2x+1=3x-19

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Solution for -2x+1=3x-19 equation:


Simplifying
-2x + 1 = 3x + -19

Reorder the terms:
1 + -2x = 3x + -19

Reorder the terms:
1 + -2x = -19 + 3x

Solving
1 + -2x = -19 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + -2x + -3x = -19 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + -5x = -19 + 0
1 + -5x = -19

Add '-1' to each side of the equation.
1 + -1 + -5x = -19 + -1

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

Combine like terms: -19 + -1 = -20
-5x = -20

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

Simplifying
x = 4

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