20x-5=45x+10

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Solution for 20x-5=45x+10 equation:


Simplifying
20x + -5 = 45x + 10

Reorder the terms:
-5 + 20x = 45x + 10

Reorder the terms:
-5 + 20x = 10 + 45x

Solving
-5 + 20x = 10 + 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.
-5 + 20x + -45x = 10 + 45x + -45x

Combine like terms: 20x + -45x = -25x
-5 + -25x = 10 + 45x + -45x

Combine like terms: 45x + -45x = 0
-5 + -25x = 10 + 0
-5 + -25x = 10

Add '5' to each side of the equation.
-5 + 5 + -25x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + -25x = 10 + 5
-25x = 10 + 5

Combine like terms: 10 + 5 = 15
-25x = 15

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

Simplifying
x = -0.6

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