16-4(x-3)=3(x+4)-12

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Solution for 16-4(x-3)=3(x+4)-12 equation: 


Simplifying
16 + -4(x + -3) = 3(x + 4) + -12

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

Combine like terms: 16 + 12 = 28
28 + -4x = 3(x + 4) + -12

Reorder the terms:
28 + -4x = 3(4 + x) + -12
28 + -4x = (4 * 3 + x * 3) + -12
28 + -4x = (12 + 3x) + -12

Reorder the terms:
28 + -4x = 12 + -12 + 3x

Combine like terms: 12 + -12 = 0
28 + -4x = 0 + 3x
28 + -4x = 3x

Solving
28 + -4x = 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.
28 + -4x + -3x = 3x + -3x

Combine like terms: -4x + -3x = -7x
28 + -7x = 3x + -3x

Combine like terms: 3x + -3x = 0
28 + -7x = 0

Add '-28' to each side of the equation.
28 + -28 + -7x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = 0 + -28
-7x = 0 + -28

Combine like terms: 0 + -28 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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