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

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


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

Reorder the terms:
3x + -6(3 + x) = 5(2 + -3x)
3x + (3 * -6 + x * -6) = 5(2 + -3x)
3x + (-18 + -6x) = 5(2 + -3x)

Reorder the terms:
-18 + 3x + -6x = 5(2 + -3x)

Combine like terms: 3x + -6x = -3x
-18 + -3x = 5(2 + -3x)
-18 + -3x = (2 * 5 + -3x * 5)
-18 + -3x = (10 + -15x)

Solving
-18 + -3x = 10 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-18 + -3x + 15x = 10 + -15x + 15x

Combine like terms: -3x + 15x = 12x
-18 + 12x = 10 + -15x + 15x

Combine like terms: -15x + 15x = 0
-18 + 12x = 10 + 0
-18 + 12x = 10

Add '18' to each side of the equation.
-18 + 18 + 12x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 10 + 18
12x = 10 + 18

Combine like terms: 10 + 18 = 28
12x = 28

Divide each side by '12'.
x = 2.333333333

Simplifying
x = 2.333333333

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