3[x-9]-11=x+4

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Solution for 3[x-9]-11=x+4 equation:


Simplifying
3[x + -9] + -11 = x + 4

Reorder the terms:
3[-9 + x] + -11 = x + 4
[-9 * 3 + x * 3] + -11 = x + 4
[-27 + 3x] + -11 = x + 4

Reorder the terms:
-27 + -11 + 3x = x + 4

Combine like terms: -27 + -11 = -38
-38 + 3x = x + 4

Reorder the terms:
-38 + 3x = 4 + x

Solving
-38 + 3x = 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.
-38 + 3x + -1x = 4 + x + -1x

Combine like terms: 3x + -1x = 2x
-38 + 2x = 4 + x + -1x

Combine like terms: x + -1x = 0
-38 + 2x = 4 + 0
-38 + 2x = 4

Add '38' to each side of the equation.
-38 + 38 + 2x = 4 + 38

Combine like terms: -38 + 38 = 0
0 + 2x = 4 + 38
2x = 4 + 38

Combine like terms: 4 + 38 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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