6x-2(3x+3)=6-4(9-5x)

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Solution for 6x-2(3x+3)=6-4(9-5x) equation:


Simplifying
6x + -2(3x + 3) = 6 + -4(9 + -5x)

Reorder the terms:
6x + -2(3 + 3x) = 6 + -4(9 + -5x)
6x + (3 * -2 + 3x * -2) = 6 + -4(9 + -5x)
6x + (-6 + -6x) = 6 + -4(9 + -5x)

Reorder the terms:
-6 + 6x + -6x = 6 + -4(9 + -5x)

Combine like terms: 6x + -6x = 0
-6 + 0 = 6 + -4(9 + -5x)
-6 = 6 + -4(9 + -5x)
-6 = 6 + (9 * -4 + -5x * -4)
-6 = 6 + (-36 + 20x)

Combine like terms: 6 + -36 = -30
-6 = -30 + 20x

Solving
-6 = -30 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + -20x = -30 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + -20x = -30 + 0
-6 + -20x = -30

Add '6' to each side of the equation.
-6 + 6 + -20x = -30 + 6

Combine like terms: -6 + 6 = 0
0 + -20x = -30 + 6
-20x = -30 + 6

Combine like terms: -30 + 6 = -24
-20x = -24

Divide each side by '-20'.
x = 1.2

Simplifying
x = 1.2

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