3(3x-9)-4=3(x-2)+11

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Solution for 3(3x-9)-4=3(x-2)+11 equation:


Simplifying
3(3x + -9) + -4 = 3(x + -2) + 11

Reorder the terms:
3(-9 + 3x) + -4 = 3(x + -2) + 11
(-9 * 3 + 3x * 3) + -4 = 3(x + -2) + 11
(-27 + 9x) + -4 = 3(x + -2) + 11

Reorder the terms:
-27 + -4 + 9x = 3(x + -2) + 11

Combine like terms: -27 + -4 = -31
-31 + 9x = 3(x + -2) + 11

Reorder the terms:
-31 + 9x = 3(-2 + x) + 11
-31 + 9x = (-2 * 3 + x * 3) + 11
-31 + 9x = (-6 + 3x) + 11

Reorder the terms:
-31 + 9x = -6 + 11 + 3x

Combine like terms: -6 + 11 = 5
-31 + 9x = 5 + 3x

Solving
-31 + 9x = 5 + 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.
-31 + 9x + -3x = 5 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-31 + 6x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 6x = 5 + 0
-31 + 6x = 5

Add '31' to each side of the equation.
-31 + 31 + 6x = 5 + 31

Combine like terms: -31 + 31 = 0
0 + 6x = 5 + 31
6x = 5 + 31

Combine like terms: 5 + 31 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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