3x+10=50x-2x

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Solution for 3x+10=50x-2x equation:


Simplifying
3x + 10 = 50x + -2x

Reorder the terms:
10 + 3x = 50x + -2x

Combine like terms: 50x + -2x = 48x
10 + 3x = 48x

Solving
10 + 3x = 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
10 + 3x + -48x = 48x + -48x

Combine like terms: 3x + -48x = -45x
10 + -45x = 48x + -48x

Combine like terms: 48x + -48x = 0
10 + -45x = 0

Add '-10' to each side of the equation.
10 + -10 + -45x = 0 + -10

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

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

Divide each side by '-45'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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