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

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Solution for 12(-x+2)-3(5-7x)=-6 equation:


Simplifying
12(-1x + 2) + -3(5 + -7x) = -6

Reorder the terms:
12(2 + -1x) + -3(5 + -7x) = -6
(2 * 12 + -1x * 12) + -3(5 + -7x) = -6
(24 + -12x) + -3(5 + -7x) = -6
24 + -12x + (5 * -3 + -7x * -3) = -6
24 + -12x + (-15 + 21x) = -6

Reorder the terms:
24 + -15 + -12x + 21x = -6

Combine like terms: 24 + -15 = 9
9 + -12x + 21x = -6

Combine like terms: -12x + 21x = 9x
9 + 9x = -6

Solving
9 + 9x = -6

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -1.666666667

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