2(4x+14)=12x+16

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Solution for 2(4x+14)=12x+16 equation:


Simplifying
2(4x + 14) = 12x + 16

Reorder the terms:
2(14 + 4x) = 12x + 16
(14 * 2 + 4x * 2) = 12x + 16
(28 + 8x) = 12x + 16

Reorder the terms:
28 + 8x = 16 + 12x

Solving
28 + 8x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + 8x + -12x = 16 + 12x + -12x

Combine like terms: 8x + -12x = -4x
28 + -4x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -4x = 16 + 0
28 + -4x = 16

Add '-28' to each side of the equation.
28 + -28 + -4x = 16 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = 16 + -28
-4x = 16 + -28

Combine like terms: 16 + -28 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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