10x-2=50x+14

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Solution for 10x-2=50x+14 equation:


Simplifying
10x + -2 = 50x + 14

Reorder the terms:
-2 + 10x = 50x + 14

Reorder the terms:
-2 + 10x = 14 + 50x

Solving
-2 + 10x = 14 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
-2 + 10x + -50x = 14 + 50x + -50x

Combine like terms: 10x + -50x = -40x
-2 + -40x = 14 + 50x + -50x

Combine like terms: 50x + -50x = 0
-2 + -40x = 14 + 0
-2 + -40x = 14

Add '2' to each side of the equation.
-2 + 2 + -40x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + -40x = 14 + 2
-40x = 14 + 2

Combine like terms: 14 + 2 = 16
-40x = 16

Divide each side by '-40'.
x = -0.4

Simplifying
x = -0.4

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