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

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


Simplifying
3(x + -4) + 4 = 3x + -4(4 + -1x)

Reorder the terms:
3(-4 + x) + 4 = 3x + -4(4 + -1x)
(-4 * 3 + x * 3) + 4 = 3x + -4(4 + -1x)
(-12 + 3x) + 4 = 3x + -4(4 + -1x)

Reorder the terms:
-12 + 4 + 3x = 3x + -4(4 + -1x)

Combine like terms: -12 + 4 = -8
-8 + 3x = 3x + -4(4 + -1x)
-8 + 3x = 3x + (4 * -4 + -1x * -4)
-8 + 3x = 3x + (-16 + 4x)

Reorder the terms:
-8 + 3x = -16 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-8 + 3x = -16 + 7x

Solving
-8 + 3x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 3x + -7x = -16 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-8 + -4x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -4x = -16 + 0
-8 + -4x = -16

Add '8' to each side of the equation.
-8 + 8 + -4x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -16 + 8
-4x = -16 + 8

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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