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

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


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

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

Combine like terms: 7 + 4 = 11
11 + -4x = 2(1 + -3x) + 2
11 + -4x = (1 * 2 + -3x * 2) + 2
11 + -4x = (2 + -6x) + 2

Reorder the terms:
11 + -4x = 2 + 2 + -6x

Combine like terms: 2 + 2 = 4
11 + -4x = 4 + -6x

Solving
11 + -4x = 4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
11 + -4x + 6x = 4 + -6x + 6x

Combine like terms: -4x + 6x = 2x
11 + 2x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
11 + 2x = 4 + 0
11 + 2x = 4

Add '-11' to each side of the equation.
11 + -11 + 2x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 4 + -11
2x = 4 + -11

Combine like terms: 4 + -11 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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