3(x-6)+2=14x-6

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Solution for 3(x-6)+2=14x-6 equation:


Simplifying
3(x + -6) + 2 = 14x + -6

Reorder the terms:
3(-6 + x) + 2 = 14x + -6
(-6 * 3 + x * 3) + 2 = 14x + -6
(-18 + 3x) + 2 = 14x + -6

Reorder the terms:
-18 + 2 + 3x = 14x + -6

Combine like terms: -18 + 2 = -16
-16 + 3x = 14x + -6

Reorder the terms:
-16 + 3x = -6 + 14x

Solving
-16 + 3x = -6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-16 + 3x + -14x = -6 + 14x + -14x

Combine like terms: 3x + -14x = -11x
-16 + -11x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
-16 + -11x = -6 + 0
-16 + -11x = -6

Add '16' to each side of the equation.
-16 + 16 + -11x = -6 + 16

Combine like terms: -16 + 16 = 0
0 + -11x = -6 + 16
-11x = -6 + 16

Combine like terms: -6 + 16 = 10
-11x = 10

Divide each side by '-11'.
x = -0.9090909091

Simplifying
x = -0.9090909091

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