3x+5=3(2x+4)+3x

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Solution for 3x+5=3(2x+4)+3x equation:


Simplifying
3x + 5 = 3(2x + 4) + 3x

Reorder the terms:
5 + 3x = 3(2x + 4) + 3x

Reorder the terms:
5 + 3x = 3(4 + 2x) + 3x
5 + 3x = (4 * 3 + 2x * 3) + 3x
5 + 3x = (12 + 6x) + 3x

Combine like terms: 6x + 3x = 9x
5 + 3x = 12 + 9x

Solving
5 + 3x = 12 + 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.
5 + 3x + -9x = 12 + 9x + -9x

Combine like terms: 3x + -9x = -6x
5 + -6x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -6x = 12 + 0
5 + -6x = 12

Add '-5' to each side of the equation.
5 + -5 + -6x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 12 + -5
-6x = 12 + -5

Combine like terms: 12 + -5 = 7
-6x = 7

Divide each side by '-6'.
x = -1.166666667

Simplifying
x = -1.166666667

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