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

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


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

Remove parenthesis around (6x)
2 * 6x = 3(x + -5)

Multiply 2 * 6
12x = 3(x + -5)

Reorder the terms:
12x = 3(-5 + x)
12x = (-5 * 3 + x * 3)
12x = (-15 + 3x)

Solving
12x = -15 + 3x

Solving for variable 'x'.

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

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

Combine like terms: 12x + -3x = 9x
9x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
9x = -15 + 0
9x = -15

Divide each side by '9'.
x = -1.666666667

Simplifying
x = -1.666666667

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