5(X-3)=3(X+1)+X

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Solution for 5(X-3)=3(X+1)+X equation:


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

Reorder the terms:
5(-3 + X) = 3(X + 1) + X
(-3 * 5 + X * 5) = 3(X + 1) + X
(-15 + 5X) = 3(X + 1) + X

Reorder the terms:
-15 + 5X = 3(1 + X) + X
-15 + 5X = (1 * 3 + X * 3) + X
-15 + 5X = (3 + 3X) + X

Combine like terms: 3X + X = 4X
-15 + 5X = 3 + 4X

Solving
-15 + 5X = 3 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
-15 + 5X + -4X = 3 + 4X + -4X

Combine like terms: 5X + -4X = 1X
-15 + 1X = 3 + 4X + -4X

Combine like terms: 4X + -4X = 0
-15 + 1X = 3 + 0
-15 + 1X = 3

Add '15' to each side of the equation.
-15 + 15 + 1X = 3 + 15

Combine like terms: -15 + 15 = 0
0 + 1X = 3 + 15
1X = 3 + 15

Combine like terms: 3 + 15 = 18
1X = 18

Divide each side by '1'.
X = 18

Simplifying
X = 18

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