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

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


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

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

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

Solving
12 + 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.
12 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = -8 + 0
12 + -1x = -8

Add '-12' to each side of the equation.
12 + -12 + -1x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -8 + -12
-1x = -8 + -12

Combine like terms: -8 + -12 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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