3(3+3x)=8(x-3)

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Solution for 3(3+3x)=8(x-3) equation:


Simplifying
3(3 + 3x) = 8(x + -3)
(3 * 3 + 3x * 3) = 8(x + -3)
(9 + 9x) = 8(x + -3)

Reorder the terms:
9 + 9x = 8(-3 + x)
9 + 9x = (-3 * 8 + x * 8)
9 + 9x = (-24 + 8x)

Solving
9 + 9x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + 9x + -8x = -24 + 8x + -8x

Combine like terms: 9x + -8x = 1x
9 + 1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + 1x = -24 + 0
9 + 1x = -24

Add '-9' to each side of the equation.
9 + -9 + 1x = -24 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = -24 + -9
1x = -24 + -9

Combine like terms: -24 + -9 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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