3(x-4)=2x+4-5x

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Solution for 3(x-4)=2x+4-5x equation:


Simplifying
3(x + -4) = 2x + 4 + -5x

Reorder the terms:
3(-4 + x) = 2x + 4 + -5x
(-4 * 3 + x * 3) = 2x + 4 + -5x
(-12 + 3x) = 2x + 4 + -5x

Reorder the terms:
-12 + 3x = 4 + 2x + -5x

Combine like terms: 2x + -5x = -3x
-12 + 3x = 4 + -3x

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

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-12 + 3x + 3x = 4 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-12 + 6x = 4 + 0
-12 + 6x = 4

Add '12' to each side of the equation.
-12 + 12 + 6x = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 4 + 12
6x = 4 + 12

Combine like terms: 4 + 12 = 16
6x = 16

Divide each side by '6'.
x = 2.666666667

Simplifying
x = 2.666666667

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