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

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


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

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

Combine like terms: 3 + -1 = 2
2 + -1x = 12 + 4(x + -1)

Reorder the terms:
2 + -1x = 12 + 4(-1 + x)
2 + -1x = 12 + (-1 * 4 + x * 4)
2 + -1x = 12 + (-4 + 4x)

Combine like terms: 12 + -4 = 8
2 + -1x = 8 + 4x

Solving
2 + -1x = 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.
2 + -1x + -4x = 8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
2 + -5x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -5x = 8 + 0
2 + -5x = 8

Add '-2' to each side of the equation.
2 + -2 + -5x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 8 + -2
-5x = 8 + -2

Combine like terms: 8 + -2 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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