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

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


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

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

Combine like terms: 2x + x = 3x
2(-2 + 3x) = 4(x + 4)
(-2 * 2 + 3x * 2) = 4(x + 4)
(-4 + 6x) = 4(x + 4)

Reorder the terms:
-4 + 6x = 4(4 + x)
-4 + 6x = (4 * 4 + x * 4)
-4 + 6x = (16 + 4x)

Solving
-4 + 6x = 16 + 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.
-4 + 6x + -4x = 16 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-4 + 2x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 2x = 16 + 0
-4 + 2x = 16

Add '4' to each side of the equation.
-4 + 4 + 2x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 16 + 4
2x = 16 + 4

Combine like terms: 16 + 4 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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