4(x+2)=12-2(3-4x)

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Solution for 4(x+2)=12-2(3-4x) equation: 


Simplifying
4(x + 2) = 12 + -2(3 + -4x)

Reorder the terms:
4(2 + x) = 12 + -2(3 + -4x)
(2 * 4 + x * 4) = 12 + -2(3 + -4x)
(8 + 4x) = 12 + -2(3 + -4x)
8 + 4x = 12 + (3 * -2 + -4x * -2)
8 + 4x = 12 + (-6 + 8x)

Combine like terms: 12 + -6 = 6
8 + 4x = 6 + 8x

Solving
8 + 4x = 6 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
8 + 4x + -8x = 6 + 8x + -8x

Combine like terms: 4x + -8x = -4x
8 + -4x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -4x = 6 + 0
8 + -4x = 6

Add '-8' to each side of the equation.
8 + -8 + -4x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 6 + -8
-4x = 6 + -8

Combine like terms: 6 + -8 = -2
-4x = -2

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

Simplifying
x = 0.5

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