4(4x+2)=2(1+6x)+14

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Solution for 4(4x+2)=2(1+6x)+14 equation:


Simplifying
4(4x + 2) = 2(1 + 6x) + 14

Reorder the terms:
4(2 + 4x) = 2(1 + 6x) + 14
(2 * 4 + 4x * 4) = 2(1 + 6x) + 14
(8 + 16x) = 2(1 + 6x) + 14
8 + 16x = (1 * 2 + 6x * 2) + 14
8 + 16x = (2 + 12x) + 14

Reorder the terms:
8 + 16x = 2 + 14 + 12x

Combine like terms: 2 + 14 = 16
8 + 16x = 16 + 12x

Solving
8 + 16x = 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.
8 + 16x + -12x = 16 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
8 + 4x = 16 + 0
8 + 4x = 16

Add '-8' to each side of the equation.
8 + -8 + 4x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 16 + -8
4x = 16 + -8

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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