5x-2=35x+10

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Solution for 5x-2=35x+10 equation:


Simplifying
5x + -2 = 35x + 10

Reorder the terms:
-2 + 5x = 35x + 10

Reorder the terms:
-2 + 5x = 10 + 35x

Solving
-2 + 5x = 10 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-2 + 5x + -35x = 10 + 35x + -35x

Combine like terms: 5x + -35x = -30x
-2 + -30x = 10 + 35x + -35x

Combine like terms: 35x + -35x = 0
-2 + -30x = 10 + 0
-2 + -30x = 10

Add '2' to each side of the equation.
-2 + 2 + -30x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -30x = 10 + 2
-30x = 10 + 2

Combine like terms: 10 + 2 = 12
-30x = 12

Divide each side by '-30'.
x = -0.4

Simplifying
x = -0.4

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