5(4X-8)-3=5(X-2)+57

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Solution for 5(4X-8)-3=5(X-2)+57 equation: 


Simplifying
5(4X + -8) + -3 = 5(X + -2) + 57

Reorder the terms:
5(-8 + 4X) + -3 = 5(X + -2) + 57
(-8 * 5 + 4X * 5) + -3 = 5(X + -2) + 57
(-40 + 20X) + -3 = 5(X + -2) + 57

Reorder the terms:
-40 + -3 + 20X = 5(X + -2) + 57

Combine like terms: -40 + -3 = -43
-43 + 20X = 5(X + -2) + 57

Reorder the terms:
-43 + 20X = 5(-2 + X) + 57
-43 + 20X = (-2 * 5 + X * 5) + 57
-43 + 20X = (-10 + 5X) + 57

Reorder the terms:
-43 + 20X = -10 + 57 + 5X

Combine like terms: -10 + 57 = 47
-43 + 20X = 47 + 5X

Solving
-43 + 20X = 47 + 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.
-43 + 20X + -5X = 47 + 5X + -5X

Combine like terms: 20X + -5X = 15X
-43 + 15X = 47 + 5X + -5X

Combine like terms: 5X + -5X = 0
-43 + 15X = 47 + 0
-43 + 15X = 47

Add '43' to each side of the equation.
-43 + 43 + 15X = 47 + 43

Combine like terms: -43 + 43 = 0
0 + 15X = 47 + 43
15X = 47 + 43

Combine like terms: 47 + 43 = 90
15X = 90

Divide each side by '15'.
X = 6

Simplifying
X = 6

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