3x-4+9x=3(3x+4)+36

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Solution for 3x-4+9x=3(3x+4)+36 equation:


Simplifying
3x + -4 + 9x = 3(3x + 4) + 36

Reorder the terms:
-4 + 3x + 9x = 3(3x + 4) + 36

Combine like terms: 3x + 9x = 12x
-4 + 12x = 3(3x + 4) + 36

Reorder the terms:
-4 + 12x = 3(4 + 3x) + 36
-4 + 12x = (4 * 3 + 3x * 3) + 36
-4 + 12x = (12 + 9x) + 36

Reorder the terms:
-4 + 12x = 12 + 36 + 9x

Combine like terms: 12 + 36 = 48
-4 + 12x = 48 + 9x

Solving
-4 + 12x = 48 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-4 + 12x + -9x = 48 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-4 + 3x = 48 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + 3x = 48 + 0
-4 + 3x = 48

Add '4' to each side of the equation.
-4 + 4 + 3x = 48 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 48 + 4
3x = 48 + 4

Combine like terms: 48 + 4 = 52
3x = 52

Divide each side by '3'.
x = 17.33333333

Simplifying
x = 17.33333333

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