5(X+1)=X+3(X+1)+7

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Solution for 5(X+1)=X+3(X+1)+7 equation: 


Simplifying
5(X + 1) = X + 3(X + 1) + 7

Reorder the terms:
5(1 + X) = X + 3(X + 1) + 7
(1 * 5 + X * 5) = X + 3(X + 1) + 7
(5 + 5X) = X + 3(X + 1) + 7

Reorder the terms:
5 + 5X = X + 3(1 + X) + 7
5 + 5X = X + (1 * 3 + X * 3) + 7
5 + 5X = X + (3 + 3X) + 7

Reorder the terms:
5 + 5X = 3 + 7 + X + 3X

Combine like terms: 3 + 7 = 10
5 + 5X = 10 + X + 3X

Combine like terms: X + 3X = 4X
5 + 5X = 10 + 4X

Solving
5 + 5X = 10 + 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.
5 + 5X + -4X = 10 + 4X + -4X

Combine like terms: 5X + -4X = 1X
5 + 1X = 10 + 4X + -4X

Combine like terms: 4X + -4X = 0
5 + 1X = 10 + 0
5 + 1X = 10

Add '-5' to each side of the equation.
5 + -5 + 1X = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 1X = 10 + -5
1X = 10 + -5

Combine like terms: 10 + -5 = 5
1X = 5

Divide each side by '1'.
X = 5

Simplifying
X = 5

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