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

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


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

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

Reorder the terms:
-4 + 6x = 6(5 + 3x)
-4 + 6x = (5 * 6 + 3x * 6)
-4 + 6x = (30 + 18x)

Solving
-4 + 6x = 30 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-4 + 6x + -18x = 30 + 18x + -18x

Combine like terms: 6x + -18x = -12x
-4 + -12x = 30 + 18x + -18x

Combine like terms: 18x + -18x = 0
-4 + -12x = 30 + 0
-4 + -12x = 30

Add '4' to each side of the equation.
-4 + 4 + -12x = 30 + 4

Combine like terms: -4 + 4 = 0
0 + -12x = 30 + 4
-12x = 30 + 4

Combine like terms: 30 + 4 = 34
-12x = 34

Divide each side by '-12'.
x = -2.833333333

Simplifying
x = -2.833333333

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