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

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


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

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

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

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

Reorder the terms:
15 + 3x = 9x + 3(3 + x)
15 + 3x = 9x + (3 * 3 + x * 3)
15 + 3x = 9x + (9 + 3x)

Reorder the terms:
15 + 3x = 9 + 9x + 3x

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

Solving
15 + 3x = 9 + 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.
15 + 3x + -12x = 9 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
15 + -9x = 9 + 0
15 + -9x = 9

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

Combine like terms: 15 + -15 = 0
0 + -9x = 9 + -15
-9x = 9 + -15

Combine like terms: 9 + -15 = -6
-9x = -6

Divide each side by '-9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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