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

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Solution for 8(x-3)=5(x+9) equation:


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

Reorder the terms:
8(-3 + x) = 5(x + 9)
(-3 * 8 + x * 8) = 5(x + 9)
(-24 + 8x) = 5(x + 9)

Reorder the terms:
-24 + 8x = 5(9 + x)
-24 + 8x = (9 * 5 + x * 5)
-24 + 8x = (45 + 5x)

Solving
-24 + 8x = 45 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-24 + 8x + -5x = 45 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-24 + 3x = 45 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + 3x = 45 + 0
-24 + 3x = 45

Add '24' to each side of the equation.
-24 + 24 + 3x = 45 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = 45 + 24
3x = 45 + 24

Combine like terms: 45 + 24 = 69
3x = 69

Divide each side by '3'.
x = 23

Simplifying
x = 23

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