8(3x-5)=9(2-3x)+6

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Solution for 8(3x-5)=9(2-3x)+6 equation: 


Simplifying
8(3x + -5) = 9(2 + -3x) + 6

Reorder the terms:
8(-5 + 3x) = 9(2 + -3x) + 6
(-5 * 8 + 3x * 8) = 9(2 + -3x) + 6
(-40 + 24x) = 9(2 + -3x) + 6
-40 + 24x = (2 * 9 + -3x * 9) + 6
-40 + 24x = (18 + -27x) + 6

Reorder the terms:
-40 + 24x = 18 + 6 + -27x

Combine like terms: 18 + 6 = 24
-40 + 24x = 24 + -27x

Solving
-40 + 24x = 24 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
-40 + 24x + 27x = 24 + -27x + 27x

Combine like terms: 24x + 27x = 51x
-40 + 51x = 24 + -27x + 27x

Combine like terms: -27x + 27x = 0
-40 + 51x = 24 + 0
-40 + 51x = 24

Add '40' to each side of the equation.
-40 + 40 + 51x = 24 + 40

Combine like terms: -40 + 40 = 0
0 + 51x = 24 + 40
51x = 24 + 40

Combine like terms: 24 + 40 = 64
51x = 64

Divide each side by '51'.
x = 1.254901961

Simplifying
x = 1.254901961

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