3(3x+1)=9-5(3x-3)

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Solution for 3(3x+1)=9-5(3x-3) equation:


Simplifying
3(3x + 1) = 9 + -5(3x + -3)

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

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

Combine like terms: 9 + 15 = 24
3 + 9x = 24 + -15x

Solving
3 + 9x = 24 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
3 + 9x + 15x = 24 + -15x + 15x

Combine like terms: 9x + 15x = 24x
3 + 24x = 24 + -15x + 15x

Combine like terms: -15x + 15x = 0
3 + 24x = 24 + 0
3 + 24x = 24

Add '-3' to each side of the equation.
3 + -3 + 24x = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 24x = 24 + -3
24x = 24 + -3

Combine like terms: 24 + -3 = 21
24x = 21

Divide each side by '24'.
x = 0.875

Simplifying
x = 0.875

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