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

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


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

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

Solving
12 + 4x = -12 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
12 + 4x + -16x = -12 + 16x + -16x

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

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

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

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

Combine like terms: -12 + -12 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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