3(x+5)+2=6x+3(x+2)

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Solution for 3(x+5)+2=6x+3(x+2) equation:


Simplifying
3(x + 5) + 2 = 6x + 3(x + 2)

Reorder the terms:
3(5 + x) + 2 = 6x + 3(x + 2)
(5 * 3 + x * 3) + 2 = 6x + 3(x + 2)
(15 + 3x) + 2 = 6x + 3(x + 2)

Reorder the terms:
15 + 2 + 3x = 6x + 3(x + 2)

Combine like terms: 15 + 2 = 17
17 + 3x = 6x + 3(x + 2)

Reorder the terms:
17 + 3x = 6x + 3(2 + x)
17 + 3x = 6x + (2 * 3 + x * 3)
17 + 3x = 6x + (6 + 3x)

Reorder the terms:
17 + 3x = 6 + 6x + 3x

Combine like terms: 6x + 3x = 9x
17 + 3x = 6 + 9x

Solving
17 + 3x = 6 + 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.
17 + 3x + -9x = 6 + 9x + -9x

Combine like terms: 3x + -9x = -6x
17 + -6x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
17 + -6x = 6 + 0
17 + -6x = 6

Add '-17' to each side of the equation.
17 + -17 + -6x = 6 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 6 + -17
-6x = 6 + -17

Combine like terms: 6 + -17 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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