3x-8=30x+10

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Solution for 3x-8=30x+10 equation:


Simplifying
3x + -8 = 30x + 10

Reorder the terms:
-8 + 3x = 30x + 10

Reorder the terms:
-8 + 3x = 10 + 30x

Solving
-8 + 3x = 10 + 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 + 3x + -30x = 10 + 30x + -30x

Combine like terms: 3x + -30x = -27x
-8 + -27x = 10 + 30x + -30x

Combine like terms: 30x + -30x = 0
-8 + -27x = 10 + 0
-8 + -27x = 10

Add '8' to each side of the equation.
-8 + 8 + -27x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -27x = 10 + 8
-27x = 10 + 8

Combine like terms: 10 + 8 = 18
-27x = 18

Divide each side by '-27'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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