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

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


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

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

Reorder the terms:
-6 + 15x = 2(6 + 3x)
-6 + 15x = (6 * 2 + 3x * 2)
-6 + 15x = (12 + 6x)

Solving
-6 + 15x = 12 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 15x + -6x = 9x
-6 + 9x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 9x = 12 + 0
-6 + 9x = 12

Add '6' to each side of the equation.
-6 + 6 + 9x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 12 + 6
9x = 12 + 6

Combine like terms: 12 + 6 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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