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

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


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

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

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

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

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

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

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

Combine like terms: 4x + -4x = 0
-2 + -1x = -1 + 0
-2 + -1x = -1

Add '2' to each side of the equation.
-2 + 2 + -1x = -1 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -1 + 2
-1x = -1 + 2

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

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

Simplifying
x = -1

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