3(4x-3)-12(x+1)=4x+3

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Solution for 3(4x-3)-12(x+1)=4x+3 equation:


Simplifying
3(4x + -3) + -12(x + 1) = 4x + 3

Reorder the terms:
3(-3 + 4x) + -12(x + 1) = 4x + 3
(-3 * 3 + 4x * 3) + -12(x + 1) = 4x + 3
(-9 + 12x) + -12(x + 1) = 4x + 3

Reorder the terms:
-9 + 12x + -12(1 + x) = 4x + 3
-9 + 12x + (1 * -12 + x * -12) = 4x + 3
-9 + 12x + (-12 + -12x) = 4x + 3

Reorder the terms:
-9 + -12 + 12x + -12x = 4x + 3

Combine like terms: -9 + -12 = -21
-21 + 12x + -12x = 4x + 3

Combine like terms: 12x + -12x = 0
-21 + 0 = 4x + 3
-21 = 4x + 3

Reorder the terms:
-21 = 3 + 4x

Solving
-21 = 3 + 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.
-21 + -4x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + -4x = 3 + 0
-21 + -4x = 3

Add '21' to each side of the equation.
-21 + 21 + -4x = 3 + 21

Combine like terms: -21 + 21 = 0
0 + -4x = 3 + 21
-4x = 3 + 21

Combine like terms: 3 + 21 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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