8x+1=13x-19

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Solution for 8x+1=13x-19 equation:


Simplifying
8x + 1 = 13x + -19

Reorder the terms:
1 + 8x = 13x + -19

Reorder the terms:
1 + 8x = -19 + 13x

Solving
1 + 8x = -19 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
1 + 8x + -13x = -19 + 13x + -13x

Combine like terms: 8x + -13x = -5x
1 + -5x = -19 + 13x + -13x

Combine like terms: 13x + -13x = 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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