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

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


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

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

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

Combine like terms: 12 + -4 = 8
3 + 3x = 8 + 4x

Solving
3 + 3x = 8 + 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.
3 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = 8 + 0
3 + -1x = 8

Add '-3' to each side of the equation.
3 + -3 + -1x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 8 + -3
-1x = 8 + -3

Combine like terms: 8 + -3 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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