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

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


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

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

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

Solving
-8 + 4x = 4 + 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 + 4x + -2x = 4 + 2x + -2x

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

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 4 + 8

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

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

Divide each side by '2'.
x = 6

Simplifying
x = 6

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