9(2X-5)=5(X+5)+4

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Solution for 9(2X-5)=5(X+5)+4 equation: 


Simplifying
9(2X + -5) = 5(X + 5) + 4

Reorder the terms:
9(-5 + 2X) = 5(X + 5) + 4
(-5 * 9 + 2X * 9) = 5(X + 5) + 4
(-45 + 18X) = 5(X + 5) + 4

Reorder the terms:
-45 + 18X = 5(5 + X) + 4
-45 + 18X = (5 * 5 + X * 5) + 4
-45 + 18X = (25 + 5X) + 4

Reorder the terms:
-45 + 18X = 25 + 4 + 5X

Combine like terms: 25 + 4 = 29
-45 + 18X = 29 + 5X

Solving
-45 + 18X = 29 + 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.
-45 + 18X + -5X = 29 + 5X + -5X

Combine like terms: 18X + -5X = 13X
-45 + 13X = 29 + 5X + -5X

Combine like terms: 5X + -5X = 0
-45 + 13X = 29 + 0
-45 + 13X = 29

Add '45' to each side of the equation.
-45 + 45 + 13X = 29 + 45

Combine like terms: -45 + 45 = 0
0 + 13X = 29 + 45
13X = 29 + 45

Combine like terms: 29 + 45 = 74
13X = 74

Divide each side by '13'.
X = 5.692307692

Simplifying
X = 5.692307692

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