6(x+2)=14x-16

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Solution for 6(x+2)=14x-16 equation:


Simplifying
6(x + 2) = 14x + -16

Reorder the terms:
6(2 + x) = 14x + -16
(2 * 6 + x * 6) = 14x + -16
(12 + 6x) = 14x + -16

Reorder the terms:
12 + 6x = -16 + 14x

Solving
12 + 6x = -16 + 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.
12 + 6x + -14x = -16 + 14x + -14x

Combine like terms: 6x + -14x = -8x
12 + -8x = -16 + 14x + -14x

Combine like terms: 14x + -14x = 0
12 + -8x = -16 + 0
12 + -8x = -16

Add '-12' to each side of the equation.
12 + -12 + -8x = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -16 + -12
-8x = -16 + -12

Combine like terms: -16 + -12 = -28
-8x = -28

Divide each side by '-8'.
x = 3.5

Simplifying
x = 3.5

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