10x-2=45x+19

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Solution for 10x-2=45x+19 equation:


Simplifying
10x + -2 = 45x + 19

Reorder the terms:
-2 + 10x = 45x + 19

Reorder the terms:
-2 + 10x = 19 + 45x

Solving
-2 + 10x = 19 + 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 + 10x + -45x = 19 + 45x + -45x

Combine like terms: 10x + -45x = -35x
-2 + -35x = 19 + 45x + -45x

Combine like terms: 45x + -45x = 0
-2 + -35x = 19 + 0
-2 + -35x = 19

Add '2' to each side of the equation.
-2 + 2 + -35x = 19 + 2

Combine like terms: -2 + 2 = 0
0 + -35x = 19 + 2
-35x = 19 + 2

Combine like terms: 19 + 2 = 21
-35x = 21

Divide each side by '-35'.
x = -0.6

Simplifying
x = -0.6

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