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

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


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

Reorder the terms:
3(4 + x) + -9(x + -3) = 4
(4 * 3 + x * 3) + -9(x + -3) = 4
(12 + 3x) + -9(x + -3) = 4

Reorder the terms:
12 + 3x + -9(-3 + x) = 4
12 + 3x + (-3 * -9 + x * -9) = 4
12 + 3x + (27 + -9x) = 4

Reorder the terms:
12 + 27 + 3x + -9x = 4

Combine like terms: 12 + 27 = 39
39 + 3x + -9x = 4

Combine like terms: 3x + -9x = -6x
39 + -6x = 4

Solving
39 + -6x = 4

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + -39 + -6x = 4 + -39

Combine like terms: 39 + -39 = 0
0 + -6x = 4 + -39
-6x = 4 + -39

Combine like terms: 4 + -39 = -35
-6x = -35

Divide each side by '-6'.
x = 5.833333333

Simplifying
x = 5.833333333

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