(19x-17)-(3x-72)=-13+(13x+83)

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Solution for (19x-17)-(3x-72)=-13+(13x+83) equation:


Simplifying
(19x + -17) + -1(3x + -72) = -13 + (13x + 83)

Reorder the terms:
(-17 + 19x) + -1(3x + -72) = -13 + (13x + 83)

Remove parenthesis around (-17 + 19x)
-17 + 19x + -1(3x + -72) = -13 + (13x + 83)

Reorder the terms:
-17 + 19x + -1(-72 + 3x) = -13 + (13x + 83)
-17 + 19x + (-72 * -1 + 3x * -1) = -13 + (13x + 83)
-17 + 19x + (72 + -3x) = -13 + (13x + 83)

Reorder the terms:
-17 + 72 + 19x + -3x = -13 + (13x + 83)

Combine like terms: -17 + 72 = 55
55 + 19x + -3x = -13 + (13x + 83)

Combine like terms: 19x + -3x = 16x
55 + 16x = -13 + (13x + 83)

Reorder the terms:
55 + 16x = -13 + (83 + 13x)

Remove parenthesis around (83 + 13x)
55 + 16x = -13 + 83 + 13x

Combine like terms: -13 + 83 = 70
55 + 16x = 70 + 13x

Solving
55 + 16x = 70 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
55 + 16x + -13x = 70 + 13x + -13x

Combine like terms: 16x + -13x = 3x
55 + 3x = 70 + 13x + -13x

Combine like terms: 13x + -13x = 0
55 + 3x = 70 + 0
55 + 3x = 70

Add '-55' to each side of the equation.
55 + -55 + 3x = 70 + -55

Combine like terms: 55 + -55 = 0
0 + 3x = 70 + -55
3x = 70 + -55

Combine like terms: 70 + -55 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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