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

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


Simplifying
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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