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

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


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

Reorder the terms:
5(-9 + 2x) = 3(9 + -2x) + 8
(-9 * 5 + 2x * 5) = 3(9 + -2x) + 8
(-45 + 10x) = 3(9 + -2x) + 8
-45 + 10x = (9 * 3 + -2x * 3) + 8
-45 + 10x = (27 + -6x) + 8

Reorder the terms:
-45 + 10x = 27 + 8 + -6x

Combine like terms: 27 + 8 = 35
-45 + 10x = 35 + -6x

Solving
-45 + 10x = 35 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-45 + 10x + 6x = 35 + -6x + 6x

Combine like terms: 10x + 6x = 16x
-45 + 16x = 35 + -6x + 6x

Combine like terms: -6x + 6x = 0
-45 + 16x = 35 + 0
-45 + 16x = 35

Add '45' to each side of the equation.
-45 + 45 + 16x = 35 + 45

Combine like terms: -45 + 45 = 0
0 + 16x = 35 + 45
16x = 35 + 45

Combine like terms: 35 + 45 = 80
16x = 80

Divide each side by '16'.
x = 5

Simplifying
x = 5

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