4(X+5)+3=5(3-X)-19

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Solution for 4(X+5)+3=5(3-X)-19 equation:


Simplifying
4(X + 5) + 3 = 5(3 + -1X) + -19

Reorder the terms:
4(5 + X) + 3 = 5(3 + -1X) + -19
(5 * 4 + X * 4) + 3 = 5(3 + -1X) + -19
(20 + 4X) + 3 = 5(3 + -1X) + -19

Reorder the terms:
20 + 3 + 4X = 5(3 + -1X) + -19

Combine like terms: 20 + 3 = 23
23 + 4X = 5(3 + -1X) + -19
23 + 4X = (3 * 5 + -1X * 5) + -19
23 + 4X = (15 + -5X) + -19

Reorder the terms:
23 + 4X = 15 + -19 + -5X

Combine like terms: 15 + -19 = -4
23 + 4X = -4 + -5X

Solving
23 + 4X = -4 + -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.
23 + 4X + 5X = -4 + -5X + 5X

Combine like terms: 4X + 5X = 9X
23 + 9X = -4 + -5X + 5X

Combine like terms: -5X + 5X = 0
23 + 9X = -4 + 0
23 + 9X = -4

Add '-23' to each side of the equation.
23 + -23 + 9X = -4 + -23

Combine like terms: 23 + -23 = 0
0 + 9X = -4 + -23
9X = -4 + -23

Combine like terms: -4 + -23 = -27
9X = -27

Divide each side by '9'.
X = -3

Simplifying
X = -3

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