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

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


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

Reorder the terms:
14 + 4x = 2(2x + 2) + 2(2x + 6)

Reorder the terms:
14 + 4x = 2(2 + 2x) + 2(2x + 6)
14 + 4x = (2 * 2 + 2x * 2) + 2(2x + 6)
14 + 4x = (4 + 4x) + 2(2x + 6)

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

Reorder the terms:
14 + 4x = 4 + 12 + 4x + 4x

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

Combine like terms: 4x + 4x = 8x
14 + 4x = 16 + 8x

Solving
14 + 4x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + 4x + -8x = 16 + 8x + -8x

Combine like terms: 4x + -8x = -4x
14 + -4x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -4x = 16 + 0
14 + -4x = 16

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

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

Combine like terms: 16 + -14 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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