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

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


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

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

Reorder the terms:
-6 + 3x = 6(14 + x)
-6 + 3x = (14 * 6 + x * 6)
-6 + 3x = (84 + 6x)

Solving
-6 + 3x = 84 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 3x + -6x = 84 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = 84 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = 84 + 0
-6 + -3x = 84

Add '6' to each side of the equation.
-6 + 6 + -3x = 84 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 84 + 6
-3x = 84 + 6

Combine like terms: 84 + 6 = 90
-3x = 90

Divide each side by '-3'.
x = -30

Simplifying
x = -30

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