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

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


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

Reorder the terms:
4x + 12(-3 + x) = 3x + x + -12
4x + (-3 * 12 + x * 12) = 3x + x + -12
4x + (-36 + 12x) = 3x + x + -12

Reorder the terms:
-36 + 4x + 12x = 3x + x + -12

Combine like terms: 4x + 12x = 16x
-36 + 16x = 3x + x + -12

Reorder the terms:
-36 + 16x = -12 + 3x + x

Combine like terms: 3x + x = 4x
-36 + 16x = -12 + 4x

Solving
-36 + 16x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-36 + 16x + -4x = -12 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-36 + 12x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 12x = -12 + 0
-36 + 12x = -12

Add '36' to each side of the equation.
-36 + 36 + 12x = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 12x = -12 + 36
12x = -12 + 36

Combine like terms: -12 + 36 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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