3x-4=30x+14

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Solution for 3x-4=30x+14 equation:


Simplifying
3x + -4 = 30x + 14

Reorder the terms:
-4 + 3x = 30x + 14

Reorder the terms:
-4 + 3x = 14 + 30x

Solving
-4 + 3x = 14 + 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.
-4 + 3x + -30x = 14 + 30x + -30x

Combine like terms: 3x + -30x = -27x
-4 + -27x = 14 + 30x + -30x

Combine like terms: 30x + -30x = 0
-4 + -27x = 14 + 0
-4 + -27x = 14

Add '4' to each side of the equation.
-4 + 4 + -27x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + -27x = 14 + 4
-27x = 14 + 4

Combine like terms: 14 + 4 = 18
-27x = 18

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

Simplifying
x = -0.6666666667

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