20x-2=45x+13

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Solution for 20x-2=45x+13 equation:


Simplifying
20x + -2 = 45x + 13

Reorder the terms:
-2 + 20x = 45x + 13

Reorder the terms:
-2 + 20x = 13 + 45x

Solving
-2 + 20x = 13 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
-2 + 20x + -45x = 13 + 45x + -45x

Combine like terms: 20x + -45x = -25x
-2 + -25x = 13 + 45x + -45x

Combine like terms: 45x + -45x = 0
-2 + -25x = 13 + 0
-2 + -25x = 13

Add '2' to each side of the equation.
-2 + 2 + -25x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + -25x = 13 + 2
-25x = 13 + 2

Combine like terms: 13 + 2 = 15
-25x = 15

Divide each side by '-25'.
x = -0.6

Simplifying
x = -0.6

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