5x-2=45x+6

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Solution for 5x-2=45x+6 equation:


Simplifying
5x + -2 = 45x + 6

Reorder the terms:
-2 + 5x = 45x + 6

Reorder the terms:
-2 + 5x = 6 + 45x

Solving
-2 + 5x = 6 + 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 + 5x + -45x = 6 + 45x + -45x

Combine like terms: 5x + -45x = -40x
-2 + -40x = 6 + 45x + -45x

Combine like terms: 45x + -45x = 0
-2 + -40x = 6 + 0
-2 + -40x = 6

Add '2' to each side of the equation.
-2 + 2 + -40x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -40x = 6 + 2
-40x = 6 + 2

Combine like terms: 6 + 2 = 8
-40x = 8

Divide each side by '-40'.
x = -0.2

Simplifying
x = -0.2

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