2(2x+7)=2(x+6)

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Solution for 2(2x+7)=2(x+6) equation:


Simplifying
2(2x + 7) = 2(x + 6)

Reorder the terms:
2(7 + 2x) = 2(x + 6)
(7 * 2 + 2x * 2) = 2(x + 6)
(14 + 4x) = 2(x + 6)

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

Solving
14 + 4x = 12 + 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 = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
14 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 2x = 12 + 0
14 + 2x = 12

Add '-14' to each side of the equation.
14 + -14 + 2x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 12 + -14
2x = 12 + -14

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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