1-(6+x)=3-4(x-1)

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Solution for 1-(6+x)=3-4(x-1) equation: 


Simplifying
1 + -1(6 + x) = 3 + -4(x + -1)
1 + (6 * -1 + x * -1) = 3 + -4(x + -1)
1 + (-6 + -1x) = 3 + -4(x + -1)

Combine like terms: 1 + -6 = -5
-5 + -1x = 3 + -4(x + -1)

Reorder the terms:
-5 + -1x = 3 + -4(-1 + x)
-5 + -1x = 3 + (-1 * -4 + x * -4)
-5 + -1x = 3 + (4 + -4x)

Combine like terms: 3 + 4 = 7
-5 + -1x = 7 + -4x

Solving
-5 + -1x = 7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5 + -1x + 4x = 7 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-5 + 3x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 3x = 7 + 0
-5 + 3x = 7

Add '5' to each side of the equation.
-5 + 5 + 3x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 7 + 5
3x = 7 + 5

Combine like terms: 7 + 5 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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