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

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


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

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

Reorder the terms:
-12 + 6x + -4(2 + x) = 2 + -3x
-12 + 6x + (2 * -4 + x * -4) = 2 + -3x
-12 + 6x + (-8 + -4x) = 2 + -3x

Reorder the terms:
-12 + -8 + 6x + -4x = 2 + -3x

Combine like terms: -12 + -8 = -20
-20 + 6x + -4x = 2 + -3x

Combine like terms: 6x + -4x = 2x
-20 + 2x = 2 + -3x

Solving
-20 + 2x = 2 + -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.
-20 + 2x + 3x = 2 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-20 + 5x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 5x = 2 + 0
-20 + 5x = 2

Add '20' to each side of the equation.
-20 + 20 + 5x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 2 + 20
5x = 2 + 20

Combine like terms: 2 + 20 = 22
5x = 22

Divide each side by '5'.
x = 4.4

Simplifying
x = 4.4

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