2x-14=2(2x+3)

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Solution for 2x-14=2(2x+3) equation:


Simplifying
2x + -14 = 2(2x + 3)

Reorder the terms:
-14 + 2x = 2(2x + 3)

Reorder the terms:
-14 + 2x = 2(3 + 2x)
-14 + 2x = (3 * 2 + 2x * 2)
-14 + 2x = (6 + 4x)

Solving
-14 + 2x = 6 + 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 + 2x + -4x = 6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-14 + -2x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -2x = 6 + 0
-14 + -2x = 6

Add '14' to each side of the equation.
-14 + 14 + -2x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 6 + 14
-2x = 6 + 14

Combine like terms: 6 + 14 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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