3(5x-6)+9=4(3x+12)+3

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Solution for 3(5x-6)+9=4(3x+12)+3 equation: 


Simplifying
3(5x + -6) + 9 = 4(3x + 12) + 3

Reorder the terms:
3(-6 + 5x) + 9 = 4(3x + 12) + 3
(-6 * 3 + 5x * 3) + 9 = 4(3x + 12) + 3
(-18 + 15x) + 9 = 4(3x + 12) + 3

Reorder the terms:
-18 + 9 + 15x = 4(3x + 12) + 3

Combine like terms: -18 + 9 = -9
-9 + 15x = 4(3x + 12) + 3

Reorder the terms:
-9 + 15x = 4(12 + 3x) + 3
-9 + 15x = (12 * 4 + 3x * 4) + 3
-9 + 15x = (48 + 12x) + 3

Reorder the terms:
-9 + 15x = 48 + 3 + 12x

Combine like terms: 48 + 3 = 51
-9 + 15x = 51 + 12x

Solving
-9 + 15x = 51 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-9 + 15x + -12x = 51 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-9 + 3x = 51 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + 3x = 51 + 0
-9 + 3x = 51

Add '9' to each side of the equation.
-9 + 9 + 3x = 51 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 51 + 9
3x = 51 + 9

Combine like terms: 51 + 9 = 60
3x = 60

Divide each side by '3'.
x = 20

Simplifying
x = 20

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