5x-8=30x+2

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Solution for 5x-8=30x+2 equation:


Simplifying
5x + -8 = 30x + 2

Reorder the terms:
-8 + 5x = 30x + 2

Reorder the terms:
-8 + 5x = 2 + 30x

Solving
-8 + 5x = 2 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-8 + 5x + -30x = 2 + 30x + -30x

Combine like terms: 5x + -30x = -25x
-8 + -25x = 2 + 30x + -30x

Combine like terms: 30x + -30x = 0
-8 + -25x = 2 + 0
-8 + -25x = 2

Add '8' to each side of the equation.
-8 + 8 + -25x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -25x = 2 + 8
-25x = 2 + 8

Combine like terms: 2 + 8 = 10
-25x = 10

Divide each side by '-25'.
x = -0.4

Simplifying
x = -0.4

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