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

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


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

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

Reorder the terms:
8 + 2x = 2x + -4(-3 + x)
8 + 2x = 2x + (-3 * -4 + x * -4)
8 + 2x = 2x + (12 + -4x)

Reorder the terms:
8 + 2x = 12 + 2x + -4x

Combine like terms: 2x + -4x = -2x
8 + 2x = 12 + -2x

Solving
8 + 2x = 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.
8 + 2x + 2x = 12 + -2x + 2x

Combine like terms: 2x + 2x = 4x
8 + 4x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 4x = 12 + 0
8 + 4x = 12

Add '-8' to each side of the equation.
8 + -8 + 4x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 12 + -8
4x = 12 + -8

Combine like terms: 12 + -8 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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