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

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


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

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

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

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

Solving
1 + 2x = -3 + -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.
1 + 2x + 4x = -3 + -4x + 4x

Combine like terms: 2x + 4x = 6x
1 + 6x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
1 + 6x = -3 + 0
1 + 6x = -3

Add '-1' to each side of the equation.
1 + -1 + 6x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = -3 + -1
6x = -3 + -1

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

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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