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

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


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

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

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

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

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

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

Solving
-55 + 4x = -7

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 4x = -7 + 55

Combine like terms: -55 + 55 = 0
0 + 4x = -7 + 55
4x = -7 + 55

Combine like terms: -7 + 55 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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