6x-1=3(3x+2)

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Solution for 6x-1=3(3x+2) equation:


Simplifying
6x + -1 = 3(3x + 2)

Reorder the terms:
-1 + 6x = 3(3x + 2)

Reorder the terms:
-1 + 6x = 3(2 + 3x)
-1 + 6x = (2 * 3 + 3x * 3)
-1 + 6x = (6 + 9x)

Solving
-1 + 6x = 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.
-1 + 6x + -9x = 6 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-1 + -3x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -3x = 6 + 0
-1 + -3x = 6

Add '1' to each side of the equation.
-1 + 1 + -3x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 6 + 1
-3x = 6 + 1

Combine like terms: 6 + 1 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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