16(2x+1)=4(x+3)+2

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Solution for 16(2x+1)=4(x+3)+2 equation: 


Simplifying
16(2x + 1) = 4(x + 3) + 2

Reorder the terms:
16(1 + 2x) = 4(x + 3) + 2
(1 * 16 + 2x * 16) = 4(x + 3) + 2
(16 + 32x) = 4(x + 3) + 2

Reorder the terms:
16 + 32x = 4(3 + x) + 2
16 + 32x = (3 * 4 + x * 4) + 2
16 + 32x = (12 + 4x) + 2

Reorder the terms:
16 + 32x = 12 + 2 + 4x

Combine like terms: 12 + 2 = 14
16 + 32x = 14 + 4x

Solving
16 + 32x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 32x + -4x = 14 + 4x + -4x

Combine like terms: 32x + -4x = 28x
16 + 28x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 28x = 14 + 0
16 + 28x = 14

Add '-16' to each side of the equation.
16 + -16 + 28x = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 28x = 14 + -16
28x = 14 + -16

Combine like terms: 14 + -16 = -2
28x = -2

Divide each side by '28'.
x = -0.07142857143

Simplifying
x = -0.07142857143

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