3(x-4)-6(2x-3)=12-7x

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Solution for 3(x-4)-6(2x-3)=12-7x equation:


Simplifying
3(x + -4) + -6(2x + -3) = 12 + -7x

Reorder the terms:
3(-4 + x) + -6(2x + -3) = 12 + -7x
(-4 * 3 + x * 3) + -6(2x + -3) = 12 + -7x
(-12 + 3x) + -6(2x + -3) = 12 + -7x

Reorder the terms:
-12 + 3x + -6(-3 + 2x) = 12 + -7x
-12 + 3x + (-3 * -6 + 2x * -6) = 12 + -7x
-12 + 3x + (18 + -12x) = 12 + -7x

Reorder the terms:
-12 + 18 + 3x + -12x = 12 + -7x

Combine like terms: -12 + 18 = 6
6 + 3x + -12x = 12 + -7x

Combine like terms: 3x + -12x = -9x
6 + -9x = 12 + -7x

Solving
6 + -9x = 12 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + -9x + 7x = 12 + -7x + 7x

Combine like terms: -9x + 7x = -2x
6 + -2x = 12 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + -2x = 12 + 0
6 + -2x = 12

Add '-6' to each side of the equation.
6 + -6 + -2x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 12 + -6
-2x = 12 + -6

Combine like terms: 12 + -6 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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