1+2[x+(x+3)]-3(5-x)+6=x-4-3[5-2(x+1)]+3

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Solution for 1+2[x+(x+3)]-3(5-x)+6=x-4-3[5-2(x+1)]+3 equation: 


Simplifying
1 + 2[x + (x + 3)] + -3(5 + -1x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3

Reorder the terms:
1 + 2[x + (3 + x)] + -3(5 + -1x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3

Remove parenthesis around (3 + x)
1 + 2[x + 3 + x] + -3(5 + -1x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3

Reorder the terms:
1 + 2[3 + x + x] + -3(5 + -1x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3

Combine like terms: x + x = 2x
1 + 2[3 + 2x] + -3(5 + -1x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3
1 + [3 * 2 + 2x * 2] + -3(5 + -1x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3
1 + [6 + 4x] + -3(5 + -1x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3
1 + 6 + 4x + (5 * -3 + -1x * -3) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3
1 + 6 + 4x + (-15 + 3x) + 6 = x + -4 + -3[5 + -2(x + 1)] + 3

Reorder the terms:
1 + 6 + -15 + 6 + 4x + 3x = x + -4 + -3[5 + -2(x + 1)] + 3

Combine like terms: 1 + 6 = 7
7 + -15 + 6 + 4x + 3x = x + -4 + -3[5 + -2(x + 1)] + 3

Combine like terms: 7 + -15 = -8
-8 + 6 + 4x + 3x = x + -4 + -3[5 + -2(x + 1)] + 3

Combine like terms: -8 + 6 = -2
-2 + 4x + 3x = x + -4 + -3[5 + -2(x + 1)] + 3

Combine like terms: 4x + 3x = 7x
-2 + 7x = x + -4 + -3[5 + -2(x + 1)] + 3

Reorder the terms:
-2 + 7x = x + -4 + -3[5 + -2(1 + x)] + 3
-2 + 7x = x + -4 + -3[5 + (1 * -2 + x * -2)] + 3
-2 + 7x = x + -4 + -3[5 + (-2 + -2x)] + 3

Combine like terms: 5 + -2 = 3
-2 + 7x = x + -4 + -3[3 + -2x] + 3
-2 + 7x = x + -4 + [3 * -3 + -2x * -3] + 3
-2 + 7x = x + -4 + [-9 + 6x] + 3

Reorder the terms:
-2 + 7x = -4 + -9 + 3 + x + 6x

Combine like terms: -4 + -9 = -13
-2 + 7x = -13 + 3 + x + 6x

Combine like terms: -13 + 3 = -10
-2 + 7x = -10 + x + 6x

Combine like terms: x + 6x = 7x
-2 + 7x = -10 + 7x

Add '-7x' to each side of the equation.
-2 + 7x + -7x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + 0 = -10 + 7x + -7x
-2 = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 = -10 + 0
-2 = -10

Solving
-2 = -10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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