3(2x+1)=9(x-1)

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Solution for 3(2x+1)=9(x-1) equation:


Simplifying
3(2x + 1) = 9(x + -1)

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

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -3x = -9 + -3

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

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

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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