5x+19=13x-45

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Solution for 5x+19=13x-45 equation:


Simplifying
5x + 19 = 13x + -45

Reorder the terms:
19 + 5x = 13x + -45

Reorder the terms:
19 + 5x = -45 + 13x

Solving
19 + 5x = -45 + 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.
19 + 5x + -13x = -45 + 13x + -13x

Combine like terms: 5x + -13x = -8x
19 + -8x = -45 + 13x + -13x

Combine like terms: 13x + -13x = 0
19 + -8x = -45 + 0
19 + -8x = -45

Add '-19' to each side of the equation.
19 + -19 + -8x = -45 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = -45 + -19
-8x = -45 + -19

Combine like terms: -45 + -19 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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