2(6x+3)=(5x-7)

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Solution for 2(6x+3)=(5x-7) equation:


Simplifying
2(6x + 3) = (5x + -7)

Reorder the terms:
2(3 + 6x) = (5x + -7)
(3 * 2 + 6x * 2) = (5x + -7)
(6 + 12x) = (5x + -7)

Reorder the terms:
6 + 12x = (-7 + 5x)

Remove parenthesis around (-7 + 5x)
6 + 12x = -7 + 5x

Solving
6 + 12x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 12x + -5x = -7 + 5x + -5x

Combine like terms: 12x + -5x = 7x
6 + 7x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 7x = -7 + 0
6 + 7x = -7

Add '-6' to each side of the equation.
6 + -6 + 7x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -7 + -6
7x = -7 + -6

Combine like terms: -7 + -6 = -13
7x = -13

Divide each side by '7'.
x = -1.857142857

Simplifying
x = -1.857142857

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