3-2(x-1)-(4-x)=7

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Solution for 3-2(x-1)-(4-x)=7 equation: 


Simplifying
3 + -2(x + -1) + -1(4 + -1x) = 7

Reorder the terms:
3 + -2(-1 + x) + -1(4 + -1x) = 7
3 + (-1 * -2 + x * -2) + -1(4 + -1x) = 7
3 + (2 + -2x) + -1(4 + -1x) = 7
3 + 2 + -2x + (4 * -1 + -1x * -1) = 7
3 + 2 + -2x + (-4 + 1x) = 7

Reorder the terms:
3 + 2 + -4 + -2x + 1x = 7

Combine like terms: 3 + 2 = 5
5 + -4 + -2x + 1x = 7

Combine like terms: 5 + -4 = 1
1 + -2x + 1x = 7

Combine like terms: -2x + 1x = -1x
1 + -1x = 7

Solving
1 + -1x = 7

Solving for variable 'x'.

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 7 + -1
-1x = 7 + -1

Combine like terms: 7 + -1 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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