2(2x+4)-2(3x-2)=2(x+7)

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Solution for 2(2x+4)-2(3x-2)=2(x+7) equation:


Simplifying
2(2x + 4) + -2(3x + -2) = 2(x + 7)

Reorder the terms:
2(4 + 2x) + -2(3x + -2) = 2(x + 7)
(4 * 2 + 2x * 2) + -2(3x + -2) = 2(x + 7)
(8 + 4x) + -2(3x + -2) = 2(x + 7)

Reorder the terms:
8 + 4x + -2(-2 + 3x) = 2(x + 7)
8 + 4x + (-2 * -2 + 3x * -2) = 2(x + 7)
8 + 4x + (4 + -6x) = 2(x + 7)

Reorder the terms:
8 + 4 + 4x + -6x = 2(x + 7)

Combine like terms: 8 + 4 = 12
12 + 4x + -6x = 2(x + 7)

Combine like terms: 4x + -6x = -2x
12 + -2x = 2(x + 7)

Reorder the terms:
12 + -2x = 2(7 + x)
12 + -2x = (7 * 2 + x * 2)
12 + -2x = (14 + 2x)

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

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

Combine like terms: 2x + -2x = 0
12 + -4x = 14 + 0
12 + -4x = 14

Add '-12' to each side of the equation.
12 + -12 + -4x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 14 + -12
-4x = 14 + -12

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

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

Simplifying
x = -0.5

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