5x-13=7x-19

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Solution for 5x-13=7x-19 equation:


Simplifying
5x + -13 = 7x + -19

Reorder the terms:
-13 + 5x = 7x + -19

Reorder the terms:
-13 + 5x = -19 + 7x

Solving
-13 + 5x = -19 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + 5x + -7x = -19 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-13 + -2x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -2x = -19 + 0
-13 + -2x = -19

Add '13' to each side of the equation.
-13 + 13 + -2x = -19 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = -19 + 13
-2x = -19 + 13

Combine like terms: -19 + 13 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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