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

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


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

Reorder the terms:
3 + -3(2 + 5x) = 2(3 + -6x)
3 + (2 * -3 + 5x * -3) = 2(3 + -6x)
3 + (-6 + -15x) = 2(3 + -6x)

Combine like terms: 3 + -6 = -3
-3 + -15x = 2(3 + -6x)
-3 + -15x = (3 * 2 + -6x * 2)
-3 + -15x = (6 + -12x)

Solving
-3 + -15x = 6 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-3 + -15x + 12x = 6 + -12x + 12x

Combine like terms: -15x + 12x = -3x
-3 + -3x = 6 + -12x + 12x

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

Add '3' to each side of the equation.
-3 + 3 + -3x = 6 + 3

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

Combine like terms: 6 + 3 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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