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

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


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

Reorder the terms:
14 + x = 2(2x + 2) + 1

Reorder the terms:
14 + x = 2(2 + 2x) + 1
14 + x = (2 * 2 + 2x * 2) + 1
14 + x = (4 + 4x) + 1

Reorder the terms:
14 + x = 4 + 1 + 4x

Combine like terms: 4 + 1 = 5
14 + x = 5 + 4x

Solving
14 + x = 5 + 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.
14 + x + -4x = 5 + 4x + -4x

Combine like terms: x + -4x = -3x
14 + -3x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -3x = 5 + 0
14 + -3x = 5

Add '-14' to each side of the equation.
14 + -14 + -3x = 5 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 5 + -14
-3x = 5 + -14

Combine like terms: 5 + -14 = -9
-3x = -9

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

Simplifying
x = 3

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