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

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


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

Reorder the terms:
4(-4 + x) = 2(x + 4) + 4
(-4 * 4 + x * 4) = 2(x + 4) + 4
(-16 + 4x) = 2(x + 4) + 4

Reorder the terms:
-16 + 4x = 2(4 + x) + 4
-16 + 4x = (4 * 2 + x * 2) + 4
-16 + 4x = (8 + 2x) + 4

Reorder the terms:
-16 + 4x = 8 + 4 + 2x

Combine like terms: 8 + 4 = 12
-16 + 4x = 12 + 2x

Solving
-16 + 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.
-16 + 4x + -2x = 12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-16 + 2x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 2x = 12 + 0
-16 + 2x = 12

Add '16' to each side of the equation.
-16 + 16 + 2x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 12 + 16
2x = 12 + 16

Combine like terms: 12 + 16 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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