5(x-9)=8(3-2x)

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Solution for 5(x-9)=8(3-2x) equation:


Simplifying
5(x + -9) = 8(3 + -2x)

Reorder the terms:
5(-9 + x) = 8(3 + -2x)
(-9 * 5 + x * 5) = 8(3 + -2x)
(-45 + 5x) = 8(3 + -2x)
-45 + 5x = (3 * 8 + -2x * 8)
-45 + 5x = (24 + -16x)

Solving
-45 + 5x = 24 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-45 + 5x + 16x = 24 + -16x + 16x

Combine like terms: 5x + 16x = 21x
-45 + 21x = 24 + -16x + 16x

Combine like terms: -16x + 16x = 0
-45 + 21x = 24 + 0
-45 + 21x = 24

Add '45' to each side of the equation.
-45 + 45 + 21x = 24 + 45

Combine like terms: -45 + 45 = 0
0 + 21x = 24 + 45
21x = 24 + 45

Combine like terms: 24 + 45 = 69
21x = 69

Divide each side by '21'.
x = 3.285714286

Simplifying
x = 3.285714286

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