x+3=3(3x-1)

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


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

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

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

Solving
3 + x = -3 + 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 + x + -9x = -3 + 9x + -9x

Combine like terms: x + -9x = -8x
3 + -8x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -8x = -3 + 0
3 + -8x = -3

Add '-3' to each side of the equation.
3 + -3 + -8x = -3 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = -3 + -3
-8x = -3 + -3

Combine like terms: -3 + -3 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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