3(3x-1)+5=6(x+1)

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Solution for 3(3x-1)+5=6(x+1) equation:


Simplifying
3(3x + -1) + 5 = 6(x + 1)

Reorder the terms:
3(-1 + 3x) + 5 = 6(x + 1)
(-1 * 3 + 3x * 3) + 5 = 6(x + 1)
(-3 + 9x) + 5 = 6(x + 1)

Reorder the terms:
-3 + 5 + 9x = 6(x + 1)

Combine like terms: -3 + 5 = 2
2 + 9x = 6(x + 1)

Reorder the terms:
2 + 9x = 6(1 + x)
2 + 9x = (1 * 6 + x * 6)
2 + 9x = (6 + 6x)

Solving
2 + 9x = 6 + 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.
2 + 9x + -6x = 6 + 6x + -6x

Combine like terms: 9x + -6x = 3x
2 + 3x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 3x = 6 + 0
2 + 3x = 6

Add '-2' to each side of the equation.
2 + -2 + 3x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 6 + -2
3x = 6 + -2

Combine like terms: 6 + -2 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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