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

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


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

Reorder the terms:
3(12 + x) = 4(2 + -1x)
(12 * 3 + x * 3) = 4(2 + -1x)
(36 + 3x) = 4(2 + -1x)
36 + 3x = (2 * 4 + -1x * 4)
36 + 3x = (8 + -4x)

Solving
36 + 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.
36 + 3x + 4x = 8 + -4x + 4x

Combine like terms: 3x + 4x = 7x
36 + 7x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
36 + 7x = 8 + 0
36 + 7x = 8

Add '-36' to each side of the equation.
36 + -36 + 7x = 8 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 8 + -36
7x = 8 + -36

Combine like terms: 8 + -36 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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