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

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


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

Reorder the terms:
3 + -2(-7 + x) + -6(12 + -1x) = -7x
3 + (-7 * -2 + x * -2) + -6(12 + -1x) = -7x
3 + (14 + -2x) + -6(12 + -1x) = -7x
3 + 14 + -2x + (12 * -6 + -1x * -6) = -7x
3 + 14 + -2x + (-72 + 6x) = -7x

Reorder the terms:
3 + 14 + -72 + -2x + 6x = -7x

Combine like terms: 3 + 14 = 17
17 + -72 + -2x + 6x = -7x

Combine like terms: 17 + -72 = -55
-55 + -2x + 6x = -7x

Combine like terms: -2x + 6x = 4x
-55 + 4x = -7x

Solving
-55 + 4x = -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.
-55 + 4x + 7x = -7x + 7x

Combine like terms: 4x + 7x = 11x
-55 + 11x = -7x + 7x

Combine like terms: -7x + 7x = 0
-55 + 11x = 0

Add '55' to each side of the equation.
-55 + 55 + 11x = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 11x = 0 + 55
11x = 0 + 55

Combine like terms: 0 + 55 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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