3(x+2)=12-4(x+1)

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Solution for 3(x+2)=12-4(x+1) equation: 


Simplifying
3(x + 2) = 12 + -4(x + 1)

Reorder the terms:
3(2 + x) = 12 + -4(x + 1)
(2 * 3 + x * 3) = 12 + -4(x + 1)
(6 + 3x) = 12 + -4(x + 1)

Reorder the terms:
6 + 3x = 12 + -4(1 + x)
6 + 3x = 12 + (1 * -4 + x * -4)
6 + 3x = 12 + (-4 + -4x)

Combine like terms: 12 + -4 = 8
6 + 3x = 8 + -4x

Solving
6 + 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.
6 + 3x + 4x = 8 + -4x + 4x

Combine like terms: 3x + 4x = 7x
6 + 7x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 7x = 8 + 0
6 + 7x = 8

Add '-6' to each side of the equation.
6 + -6 + 7x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 8 + -6
7x = 8 + -6

Combine like terms: 8 + -6 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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