3(3x-5)=8(x+3)

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Solution for 3(3x-5)=8(x+3) equation:


Simplifying
3(3x + -5) = 8(x + 3)

Reorder the terms:
3(-5 + 3x) = 8(x + 3)
(-5 * 3 + 3x * 3) = 8(x + 3)
(-15 + 9x) = 8(x + 3)

Reorder the terms:
-15 + 9x = 8(3 + x)
-15 + 9x = (3 * 8 + x * 8)
-15 + 9x = (24 + 8x)

Solving
-15 + 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.
-15 + 9x + -8x = 24 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-15 + 1x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + 1x = 24 + 0
-15 + 1x = 24

Add '15' to each side of the equation.
-15 + 15 + 1x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 24 + 15
1x = 24 + 15

Combine like terms: 24 + 15 = 39
1x = 39

Divide each side by '1'.
x = 39

Simplifying
x = 39

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