2x+1=-[1-3(x-1)]

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Solution for 2x+1=-[1-3(x-1)] equation: 


Simplifying
2x + 1 = -1[1 + -3(x + -1)]

Reorder the terms:
1 + 2x = -1[1 + -3(x + -1)]

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

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

Solving
1 + 2x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 2x + -3x = -4 + 3x + -3x

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

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

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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