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

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


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

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

Remove parenthesis around (3 + 5x)
3 + 5x = 8(x + -3)

Reorder the terms:
3 + 5x = 8(-3 + x)
3 + 5x = (-3 * 8 + x * 8)
3 + 5x = (-24 + 8x)

Solving
3 + 5x = -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.
3 + 5x + -8x = -24 + 8x + -8x

Combine like terms: 5x + -8x = -3x
3 + -3x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -3x = -24 + 0
3 + -3x = -24

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

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

Combine like terms: -24 + -3 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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