3x-6=27x+10

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Solution for 3x-6=27x+10 equation:


Simplifying
3x + -6 = 27x + 10

Reorder the terms:
-6 + 3x = 27x + 10

Reorder the terms:
-6 + 3x = 10 + 27x

Solving
-6 + 3x = 10 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
-6 + 3x + -27x = 10 + 27x + -27x

Combine like terms: 3x + -27x = -24x
-6 + -24x = 10 + 27x + -27x

Combine like terms: 27x + -27x = 0
-6 + -24x = 10 + 0
-6 + -24x = 10

Add '6' to each side of the equation.
-6 + 6 + -24x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -24x = 10 + 6
-24x = 10 + 6

Combine like terms: 10 + 6 = 16
-24x = 16

Divide each side by '-24'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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