1-2x-3[2x-(-5+x)]=x+4

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Solution for 1-2x-3[2x-(-5+x)]=x+4 equation:


Simplifying
1 + -2x + -3[2x + -1(-5 + x)] = x + 4
1 + -2x + -3[2x + (-5 * -1 + x * -1)] = x + 4
1 + -2x + -3[2x + (5 + -1x)] = x + 4

Reorder the terms:
1 + -2x + -3[5 + 2x + -1x] = x + 4

Combine like terms: 2x + -1x = 1x
1 + -2x + -3[5 + 1x] = x + 4
1 + -2x + [5 * -3 + 1x * -3] = x + 4
1 + -2x + [-15 + -3x] = x + 4

Reorder the terms:
1 + -15 + -2x + -3x = x + 4

Combine like terms: 1 + -15 = -14
-14 + -2x + -3x = x + 4

Combine like terms: -2x + -3x = -5x
-14 + -5x = x + 4

Reorder the terms:
-14 + -5x = 4 + x

Solving
-14 + -5x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + -5x + -1x = 4 + x + -1x

Combine like terms: -5x + -1x = -6x
-14 + -6x = 4 + x + -1x

Combine like terms: x + -1x = 0
-14 + -6x = 4 + 0
-14 + -6x = 4

Add '14' to each side of the equation.
-14 + 14 + -6x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + -6x = 4 + 14
-6x = 4 + 14

Combine like terms: 4 + 14 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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