2(2x+7)=2(x+1)

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Solution for 2(2x+7)=2(x+1) equation:


Simplifying
2(2x + 7) = 2(x + 1)

Reorder the terms:
2(7 + 2x) = 2(x + 1)
(7 * 2 + 2x * 2) = 2(x + 1)
(14 + 4x) = 2(x + 1)

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

Solving
14 + 4x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + 4x + -2x = 2 + 2x + -2x

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

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

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

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

Combine like terms: 2 + -14 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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