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

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


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

Reorder the terms:
4(4 + 3x) = 4 + -3(x + -4)
(4 * 4 + 3x * 4) = 4 + -3(x + -4)
(16 + 12x) = 4 + -3(x + -4)

Reorder the terms:
16 + 12x = 4 + -3(-4 + x)
16 + 12x = 4 + (-4 * -3 + x * -3)
16 + 12x = 4 + (12 + -3x)

Combine like terms: 4 + 12 = 16
16 + 12x = 16 + -3x

Add '-16' to each side of the equation.
16 + -16 + 12x = 16 + -16 + -3x

Combine like terms: 16 + -16 = 0
0 + 12x = 16 + -16 + -3x
12x = 16 + -16 + -3x

Combine like terms: 16 + -16 = 0
12x = 0 + -3x
12x = -3x

Solving
12x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12x + 3x = -3x + 3x

Combine like terms: 12x + 3x = 15x
15x = -3x + 3x

Combine like terms: -3x + 3x = 0
15x = 0

Divide each side by '15'.
x = 0

Simplifying
x = 0

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