3(x-2)+5-5(2x+4)=6

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Solution for 3(x-2)+5-5(2x+4)=6 equation: 


Simplifying
3(x + -2) + 5 + -5(2x + 4) = 6

Reorder the terms:
3(-2 + x) + 5 + -5(2x + 4) = 6
(-2 * 3 + x * 3) + 5 + -5(2x + 4) = 6
(-6 + 3x) + 5 + -5(2x + 4) = 6

Reorder the terms:
-6 + 3x + 5 + -5(4 + 2x) = 6
-6 + 3x + 5 + (4 * -5 + 2x * -5) = 6
-6 + 3x + 5 + (-20 + -10x) = 6

Reorder the terms:
-6 + 5 + -20 + 3x + -10x = 6

Combine like terms: -6 + 5 = -1
-1 + -20 + 3x + -10x = 6

Combine like terms: -1 + -20 = -21
-21 + 3x + -10x = 6

Combine like terms: 3x + -10x = -7x
-21 + -7x = 6

Solving
-21 + -7x = 6

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + -7x = 6 + 21

Combine like terms: -21 + 21 = 0
0 + -7x = 6 + 21
-7x = 6 + 21

Combine like terms: 6 + 21 = 27
-7x = 27

Divide each side by '-7'.
x = -3.857142857

Simplifying
x = -3.857142857

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