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

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


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

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

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

Solving
4 + 4x = -36 + 12x

Solving for variable 'x'.

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

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

Combine like terms: 4x + -12x = -8x
4 + -8x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -8x = -36 + 0
4 + -8x = -36

Add '-4' to each side of the equation.
4 + -4 + -8x = -36 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -36 + -4
-8x = -36 + -4

Combine like terms: -36 + -4 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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