3[x-(6-3x)+5]=11x+8

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Solution for 3[x-(6-3x)+5]=11x+8 equation:


Simplifying
3[x + -1(6 + -3x) + 5] = 11x + 8
3[x + (6 * -1 + -3x * -1) + 5] = 11x + 8
3[x + (-6 + 3x) + 5] = 11x + 8

Reorder the terms:
3[-6 + 5 + x + 3x] = 11x + 8

Combine like terms: -6 + 5 = -1
3[-1 + x + 3x] = 11x + 8

Combine like terms: x + 3x = 4x
3[-1 + 4x] = 11x + 8
[-1 * 3 + 4x * 3] = 11x + 8
[-3 + 12x] = 11x + 8

Reorder the terms:
-3 + 12x = 8 + 11x

Solving
-3 + 12x = 8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-3 + 12x + -11x = 8 + 11x + -11x

Combine like terms: 12x + -11x = 1x
-3 + 1x = 8 + 11x + -11x

Combine like terms: 11x + -11x = 0
-3 + 1x = 8 + 0
-3 + 1x = 8

Add '3' to each side of the equation.
-3 + 3 + 1x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 8 + 3
1x = 8 + 3

Combine like terms: 8 + 3 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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