3(3x+5)+8=6(x+3)

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Solution for 3(3x+5)+8=6(x+3) equation:


Simplifying
3(3x + 5) + 8 = 6(x + 3)

Reorder the terms:
3(5 + 3x) + 8 = 6(x + 3)
(5 * 3 + 3x * 3) + 8 = 6(x + 3)
(15 + 9x) + 8 = 6(x + 3)

Reorder the terms:
15 + 8 + 9x = 6(x + 3)

Combine like terms: 15 + 8 = 23
23 + 9x = 6(x + 3)

Reorder the terms:
23 + 9x = 6(3 + x)
23 + 9x = (3 * 6 + x * 6)
23 + 9x = (18 + 6x)

Solving
23 + 9x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
23 + 9x + -6x = 18 + 6x + -6x

Combine like terms: 9x + -6x = 3x
23 + 3x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
23 + 3x = 18 + 0
23 + 3x = 18

Add '-23' to each side of the equation.
23 + -23 + 3x = 18 + -23

Combine like terms: 23 + -23 = 0
0 + 3x = 18 + -23
3x = 18 + -23

Combine like terms: 18 + -23 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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